Well to be fair, that New Jersey court had no jurisdiction over her kids to begin with and never should have agreed to hear the case. She and her husband were residents of Uzbekistan (as you said, her father is the president). Her husband, an American citizen, lured her to the US and filed for divorce there because he thought he could get better terms.
Are you kidding? The NJ courts rarely give custody to the father. She took the kids and fled the country! She was arrested for it in UAE (I think).
She is just a third world despot like Putin.