I'm not so sure. I think there are conservatives who truly believe themselves to be intolerant of fascists and bigots but, first and foremost, they are not representative of conservatives as a whole and therefore may not be best suited to represent and moderate a community of conservatives, and secondly, I'm reminded of the German saying about Nazis at the table. If there is a table of ten people and a Nazi sits down with them and no one leaves, there are 11 Nazis at the table.

I'll admit that this is a fairly American-centric view of conservatives and while it may be as you say, similar in other parts of the world, I honestly don't know enough to agree with any certainty.