These descriptions are terrible and few if any fit. Scalia was not an originalist, dominionism doesn't fit as a judicial philosophy, establishment conservatism has no meaning in a judicial context, and proto-originalist is useless as well.
Gorsuch's past work indicates he'll be a legislative supremacist and probably a textialist. Therefore, Scalia is the closest answer.
I don't know how to label Roberts. Dominionism isn't a judicial philosophy but Santorum and Moore use it as one. I don't know how to label Alito. Alito seems to be like a Scalia who is not quite as textualist.