Silly girl, you don't need to take all of the monster levels in a row. Go Botj 1/wilder 1 and then switch between Botj and wilder every level to grab more powers known untill all Botj levels are taken, and you'll be grabbing the wilder powers known as well.
BiaJ only stacks from 4th level onwards.
My issue is that stacking with Wilder and Psychic Warrior but not Psion is a
terrible deal because Wilder sucks for a class that's all about manifesting. It's limited to at most 11 powers, getting less than a class that is to Psion as a Bard or Paladin or something is to a Wizard/Cleric, and its only unique class feature carries a risk of screwing yourself over!
Basically, Wilder needs more love because, as a class, it's
blatantly suicidal. And there are hardly and Manifester PrC's, too...
You're possibly better off with BiaJ 4/Psion 16
despite the stacking.
... seems like a psion would be more fitting thematically, anyway.