I don't know too much about them. Are they a successor movement to the Federalist party?
No there like a combination of conservative and libertarian lawyers of originalist’s, constitutionalist and the like to bring the judiciary back to the right. A good example is that a vast majority of trumps Supreme Court picks are from the society.
The Supreme Court is too powerful in general in my opinion. While picking constitutionalist nominees is a great victory in the short term, it can essentially be hijacked anytime in the long term without real reform.
Can you name a few. Curious, because I was thinking we add to the judiciary a council of people(29) which are look for breaking of states rights and internal state disregard for the constitution. although I habe problems with this since I was thinking the only people that can vote to replace members when they die are people already in the council. although one of it powers is to make sure neither of the 3 branches get to powerful.