BS”D
No one else is trying to impose their weakness as a lifestyle or to demand rights because of it.
And taking money from people who support that which is against Torah is just a fact of life across the board. Why should any Yid be deprived of the mitzvah of giving to a real tzedoko? Do we exempt Otisvillers from Shabbos when they are there? No Jew is exempt from any mitzvoh and the object is to get every Jew to do as many as he or she can.
MO and Torah true institutions alike accept money from mechalelei Shabbos and treyf eaters (I am not speaking of kiruv oriented institutions either, where the institutions are open to everyone and are often supported by those who are not frum because of the social aspects of their institutions, or because they feel at home there).