This is all standard walkaway/wayward SCRIPT. The "NOW YOU'VE BLOWN ANY CHANCE WE HAD!!!!" is heard in probably 90-95% of everyone's sitches when they take a strong stand.
Your response should be a simple "I'm really sorry you feel that way. I will discuss this all with my attorney, and we'll have to let them work everything out."
Everything she says she wants -- more custody, more child support, longer (and distant) custody -- will have to be worked out legally. YOU HAVE RIGHTS. 3 weeks at a time, abroad, ain't gonna happen, unless you have Soupy Sales as your atty (and I'm pretty sure he's dead).