“I heard a psak from Rav Schachter of all people that if the Conservative edim were shomer shabbat and believed in Torah min hashamayim, than the conversion is good. “
I heard something like that in the name of Rav Schachter from my own rav; IIRC the qualification was that the “Conservative” dayanim had to be fully observant, not just Shabat observant. Of course, if you are fully observant and profess belief in Torah Mi Sinai, you are actually Orthodox regardless of what you call yourself.