Based on what I believe “to pasken” means I don’t understand this whole concept. If by “hashkafa” you mean values and non scientific beliefs then of course Judaism “paskens” on them. Religion is a value system and a system of beliefs, that is what it’s “made out of” (for lack of a better term) without specific values and beliefs the whole construct simply doesn’t exist.
If by Hashkafa you mean Scientific things those are not things that can be “paskened” they simply are what they are, (you can’t “Pasken” that a frog is a bird).