CIPA, my congratulations were focused on her having to pay you child support. It is heart-breaking that you will only get to see the boys half the time. That just plain sucks -- for now.
However, I don't think this will be the case in the future. Judging from your STBX's irrational behavior and her obvious self-interest overriding all maternal instincts, I'd bank on you seeing more of the boys than 50%. The secret to this is not to show her your pleasure in having them more. If she thinks she is "punishing" you with it... then she'll give you more access to the kids so she can continue her disgusting search for "True Love."
Its then your job to thoroughly document all incidents she does this. She IS going to neglect the children. Document that too. Keep track of her. She is going to slip up badly. When that happens, and if that is want you want, you can go for full custody within a year.