In general in more MO shuls, the board of directors controls the shul, not the Rabbi. He is an employee. Most charedi shul (NOT all) the shul is a shteibel type where its the rabbi’s shul and he has more control.
Honestly I dont think any charedi rabbi would refuse membership to someone who didnt keep halacha, unless they were blatant about it (Like driving to shul on shabbos and parking in front of the shul) If someone was known not to be as religious as others, outside the shul, but not blatantly, I think most charedi rabbis would let it go, or gently try to get them to keep more.
Beating up people for Gets, in the USA , Is a Chilul Hashem. Its one thing if its quiet and nobody knows about it, but when it goes to the mainstream press, it is a BIG problem