Ok. When I say has worked, I meant that 1. They saved lives 2. The communities figure out how to support them. Ur correct, if some smucks want to create politics, fights, etc, that may happen. My understanding is that that happens in NY too (not letting too many people join, pushing back when ladies want to open a competitive organization, and so on) but I don't think anybody will say that hatzalah shouldn't operate because of that.
Furthermore, every organization has politics to some degree. Hatzalah happens to be a huge organization and services every single Jew in their service areas so of course their politics may be bigger and/or more well known. But don't fool urself and think that that is unique to hatzalah.