The Federalist Society is quite literally a place for people to practice their politicized legal arguments for judicial activism. Even if they don't fly a flag and explicitly chant the Society's name, the insidious Lovecraftian cult-like ideological corruption happens all the same.
Consider that the American Bar Association, a voluntary organization involved in academic and ethical standards of US law schools, used to help vet potential Supreme Court nominees for over 50 years.
Well, some people were unhappy w/ this because the ABA wasn't "conservative enough" and wanted to find a parallel "All-American" political organization to do it. 2005: enter the Federalist Society, George W Bush, and Alito.