wouldn't it be the case that you would see almost exactly 50/50 if all galaxies had parallel axes and rotated in the same absolute direction?

why? if you subscribe to big bang then all matter got the same "initial kick". would be easier to assume same spin?

From my understanding, the big bang requires that the proto-universe was in a completely homogenous state that was then pushed out of that equilibrium for some reason. But that reason doesn't require non-zero angular momentum. It only requires that a the proto-universe was homogenous and now the universe isn't. And that is what separates pre and post big bang. I could be wrong, I am not a cosmologist. Would be happy to hear from one though.

So what caused the "initial kick" to favor one side?

What causes a perfectly symmetric ball on top of a perfectly symmetric hill to roll down via one side? (Probably quantum randomness if everything else is perfectly symmetric)

What caused this universe to favor matter over anti-matter?

So many unanswered questions.