“Was the Rebbe the leader for Reform Jews, intermarried Jews and Jews converted to Christianity, and their Nossi Hador as well? Did the Reform Jews and Jewish converts to Christianity accept the Rebbe as such? If not, how can you claim that the Rebbe was the leader for all Jews?”
Yes, he tried to help out every Jew and pull them from even the lowest depths. Yes people from all backgrounds and levels of frumkeit came to the Rebbe for his guidance.
The Rebbe even cared for people that hated him and wouldn’t come visit and tried to help them out as well.
One story I find mind blowing is that the Rebbe instructed a chossid to open a school, I think it was a half learning, half trade school, not under the name of lubavitch, because some kids who would benefit would’nt attend because their parents don’t like lubavitch.