Sam,
I actually began my previous post intending to say what you are saying, that the chareidim have a misperception of what MO hold from, because MO are generally more willing to “live and let live” and accept differences in their community.
But I didn’t think it was true. And I don’t. I don’t think that any normal MO community would include a mechallel shabbos in public into their community as a normal member.
Maybe I’m misperceiving because most mechaleli shabbos don’t want to join the frum community anyway. But I just don’t think it is true anyway that you really would. Tell me RIETS would accept a student who was publicly mechalel shabbos (even not for semicha). Now tell me they wouldn’t accept a student whose wife dresses according to no halachic opinion m’dina.
I could be wrong on this; but am I really?