Now, here's how I see it:
Father kidnaps kids after relationship with wife goes sour. As the kids are living in Florida and have access to computers, the father is presumably not a raving drug-addicted psycopath. Mother searches for years, and eventually finds kids on facebook. Justice intervenes, the day is saved, kids returned to mother, everyone is happy except father, who is now in court.
Now, my guesses on the motivations of various parties. There isn't enough information about either parents, but for now I'll assume they're both average, middle class American citizens.
Father: He definitly gets the worst of it. Women are always viewed with sympathy by the courts and the media (except in politics, but that is a different debate) and even if the wife was the spawn of satan the father knew that any jury would rule in her favor with their old 'kids need the mother' line. Father figures at this age kids won't remember mother, so he flees to Florida. He settles down, and evidently is not caught. Kids experience relatively normal childhood and evidently don't remember mother.
MANY YEARS LATER
Father is abruptly notified that mother has found children on facebook when police storm his house / apartment and arrest him. He is now in a massive legal battle with a woman he left 15 years ago over children he raised and bonded with in a court system with massive prejudice against men in any issue regarding children.
Mother: In my mind she's a bit of a *****. While she likely did suffer from the theft of her children, she evidently wasn't heartbroken enough to do some simple steps such as hiring a private investigator or the like to try and track down her husband, instead relying on local police who evidently failed.
MANY YEARS LATER
Mother abruptly discovers children on facebook. Rather than trying and contacting them discretely before taking action, she immmediatly figures the best way to go about this is to call in the law and end up with two children who she knows nothing about, has had no contact with for 15 years, who are uprooted from a place that they've lived for most of their lives, and are now filled with the knowledge that both their dad is a kidnapper and their mom is completely off her bird.
Kids: While they're not being screwed by the system, they are seriously being screwed by their mother. As they are reasonably old, their likely response is to be along the lines of "what the hell is this?". I, for one (speaking as a 16 year old) would be extremely creeped out if some lady from California, who I have never met, arrested my dad who I've known my whole life, destroyed any hope of ever having a normal life, and now is demanding that I uproot myself from the only home I've ever remembered to come live in California. While the daughter can escape this, the son is in for some serious trauma in this matter.
To be honest, the real victim isn't the mom, it's the kids. The mother acted irrationally, and no matter how much she claims to "love her children", in the end she just falsified that because of everything she's going to put them through now.