This is a pretty loaded question. I believe we are currently at a break even point, and given current trends, women may have a slight advantage in the future. Not super likely, but probable.
There are a few reasons for this. I honestly don't want to cite anything because it'll take forever so you can take my word for it or go look it up yourself. Also, I want to hit as many points as quickly as possible without producing a wall of text nobody will read.
Currently, the wage gap no longer exists in the United States. Evidence to the contrary is usually outdated or does not take into account all factors. But men, on average, do earn more. Let me explain. I, nor have any of my friends, ever worked anywhere where men were offered more to do the SAME job. Why? Because discrimination is bad and most employers need a new lawsuit like they need a new butthole. Now, let's get to the nitty gritty.
First, and I have no supporting evidence for this as I believe the sources to be biased, it is reasonable to say women tend to deviate toward cushier jobs. Cushier jobs pay less. As I said, I honestly can't prove this either way, but next time you walk into an university engineering class, pay attention to the percentage of males to females. Why this is? Maybe sexism. More later.
Second, women bear children. Men don't. When a working woman takes paternity leave or reduces her hours to care for her newborn child, it effectively puts her career on hold. It is difficult to dedicate the same time and energy to work when YOUR child is at home needing to be taken care of. At this point, men, who stay working, begin to out pace their counterparts. Again, you could argue that women staying home taking care of children all the time is an indicator of sexism, but in the end, men overwhelmingly make career oriented decisions while women do not. You could also say it sexism for an employer to promote a male employee who has three years experience over a initially similar female employee who has two and a half years experience after leave. Is it? Maybe. But it is definitely discrimination to artificially credit a female employee an additional six months because she took leave.
Third, a lot of people immediately point at the fact that the upper levels of society still predominately consist of men. Men make up the majority of the highest paying jobs, political positions, etc., sure. But when did the whole feminist revolution begin? Around the 1970s. And I don't even think a primary motive of first wave feminism was to get women into the upper crust. They just wanted equality. I think it was second wave feminism that made job place equality a major goal. In any case, fourty years is not a lot of time. See, the upper crust before the 1970s contained a lot of men and those guys aren't going to just roll over and die to appease some random female or statistic. And getting into the upper crust? Its not easy regardless of gender. So again, these things take tons of time and energy. Very few people can do it. Its the upper crust for a reason. Don't expect to miraculously change a system hundreds of years in the making overnight.
That said, I believe we will see many more women making it into that upper crust in the next two decades ( which is a much more appropriate time scale than this ridiculous fourty, more like thirty year turnaround current feminists seem to expect ). Why? Because education. I believe nearly 60% of graduating undergraduates are now women. I don't know the exact split, but look it up anywhere. Right now, more women graduate than men. And while it is true that men continue to dominate traditional powerhouses like engineering, if you've ever taken a look into other hard sciences like biology you'll see tons of girls right next to the boys. As for why men continue to dominate traditional educational powerhouses? Nobody really knows. It could be deeply ingrained sexism. But evidence points to the contrary. Because many schools have been doing all they can to get girls more interested in the maths and sciences. The current day elementary school programs in fact favour girls over boys, yet the percentage of women who enter engineering has only shown marginal yearly improvement.
When one has education and drive, well, getting into that upper crust should be easier.
Next, the Internet and misogyny thereon. Look, people say whatever they want over the Internet and are generally assholes. The Internet is not representative of real life. If you're a girl and somebody hurts your feelings over the Internet, go tell your coworker. He'll probably tell you those guys on the Internet are douches. Now don't go complain to him every time this happens because he'll probably think you're a whiny pissant and will eventually tell you to just stop using the Internet. Real life and the Internet. Different things. Oh, but all that anti-women stuff on the Internet will desensitize people to be anti-women. Well, I played tons of Borderlands and Battlefield and Call of Duty and Uncharted and I even own a real gun and I haven't shot anybody yet. Even that time I was really, really mad. Didn't even cross my mind. Btw, politically, I can be classified as a libertarian or centralist. A non-right winger owning a gun. Weird, right?
Now, let's talk about a few things nobody wants to talk about. Women in the military. In almost no first world armies do women serve as front line combatants. Even units that allow women to the front lines ( like the United States Army Green Beret ) have them in secondary and support roles ( liasons ). What does this boil down to? Well, a shit ton more men die, from non-natural causes, than women. And that's just not fair. If we want equality, for every man who dies in combat, a woman should die too, right? Even outside of the military, men are much likely to be killed due to violence or to commit suicide. Because life is hard on men. Also, because if civilization were reduced to two men, humanity would be screwed.
Next, a few things. Feminism has become extreme. No, neo-feminists or whoever do not speak for all feminists. They don't really speak for anybody except their crazy selves. But the problem is that they exist and they are crazy with their man hating and cries to burn down the patriarchy and real feminists aren't doing enough to distance themselves from that crazy fringe. As a result, they are allowing neo-feminists to co-opt the actual feminism movement, which is now in its third wave.
Which brings us to the next problem. Third wave feminism has no real goal. Its just this kind of dumb, pointless mess. The goals, like taking back the word ***** ( like how black people took back the n-word I guess ), are extremely minor when compared to the goals of first and second wave feminism. And that's when people can agree on a common goal at all. This kind of vague attitude has created a lot of couch feminists who proudly proclaim themselves feminists but don't really understand actual feminism ( and how important the first and second waves are ) and asides from being annoyances to everyone else, don't do anything to promote actual feminist goals. This creates a space for extremists to co-opt the movement which distorts feminism and leads to nearly as radical male rights movements. Its ridiculous and I think society is just tired and burnt out on all the stupid crap. Strangely, saying your are anti-feminism is still seen as declaring yourself a Nazi or something.
Wow, the last two paragraphs got side tracked. A bit of a rant. Also, the thoughts are kinda disjointed and I skipped a lot of inbetween bits for brevity.
TL;DR: Blah, blah, blah, no, the tables have not turned. Men still enjoy a handful of advantages but so do women. What's more, we probably will not have 100% equality in a long time. And that's okay. Because men and women aren't the same. No matter who tells you what, men and women aren't the same. Because women can have babies.
