Yichusdik: I think you are wrong about how the Perushim historically related to other sectarian groups, but your point about Conservative should be accepted. There is a huge spectrum of Conservative Judaism. Many “Conservative”s are completely Shomer Halacha and there are many that have no relation to authentic Judaism whatsoever. Lumping them all into one group is foolish to say the least.
Many “Conservative”s are completely Shomer Halacha
You learn something new every day.