Wow, this game looks less like it was inspired by X-Com and more like Mass Effect 2 and Destroy All Humans had a crack baby with fetal alcohol syndrome.
If the purpose of a trailer is to convince you that a game is worth buying, this failed pretty miserably.
Specific complaints:
The capture ability makes it seem like humans have better technology than the aliens. If they want to present players with a tough dilemma, how about "Do we abort the mission, write off Dr. Weir, haul this thing back to base and study it, or do you blow it up so that it doesn't shoot us in the back, take a few pieces with us, and hope that we learn SOMETHING useful, in the unlikely event that we survive this?" Heck I'd even settle for "Have one of your men call to have a Sky Ranger extract the alien artifact, and you have to do without him for several minutes of game-time while he stays behind to secure the artifact." Being able to put alien turrets in your pocket really doesn't make me feel like we're hopelessly behind in an arms race with the invaders.
The aliens are underwhelming. If you're outnumbered by a supposedly superior enemy, you should not be able to slaughter them with one special ability and a flanking maneuver.
The Time Units mechanic seems like a pathetic attempt to rename Mana and claim "See? We use TIME UNITS! We really ARE an X-Com game!". This is insulting to X-Com fans, pointless to FPS fans, and impressive to neither.
AT LEAST have destructible environments! Unless your research determines that the alien technology has a fundamental weakness in that their offensive weaponry is nullified by painted wood, taking cover on a porch should be about as much protection as using plywood as body armor.
I'm usually not too worried about graphics, but this really does look like a game made for last-gen consoles.
I'll admit, though, that I'm judging this game FAR more harshly than I normally might due to it's name. Well, tough. If 2K is going to try to use an IP name to generate publicity and attract nostalgic fans, they better be ready to deal with the fallout when they utterly butcher the concept that drew the original fans in the first place.