you are correct that it is "organised religion" that is a problem, as easily attested by history and your examples
all organisations as they grow become more interested in power and wealth and its attendant corruption. Organised religion is no different.
an even bigger problem with religious organisations is fundamentalism
i would argue (and you might disagree) that christianity in the western world is largely becoming more benign relatively speaking these days, with more and more adherents becoming non-practicing or non-believers. Contrastingly some non-christian religions appear to have a growing fundamentalist component. This gets somewhat conflated wihen the line between religion and state gets blurred