FIB -
If you think you want more time with your kids, you have to fight for them - who cares if anyone thinks you are a bully?
Once it is set, only a MAJOR change in circumstance can have the issue revisited. You've got one shot.

How can they punish you? What more can they do?

I read a bit about NY custody - says the mother does not automatically have any more rights than the father. Also, a court-appointed atty for the kids will weigh in with what is best for the kids.

Good luck...