I want to point out a misconception that has been widely perpetrated for years now.
Karl Rove, contrary to the opinion of many, is not ideological. He believes only those things which poll well, and he would reccommend them unhesitatingly to any candidate he was managing, regardless of their ideological bent.
It was shit luck for the Democrats that Rove wound up working for Republicans, because the man is a capable political strategist. Rove is not Bush, he is not Newt Gingrich.
Rove is a professional whose job was to win elections. He showed Bush how to do that twice on a national level.
There are credible rumors that he is an agnostic or an atheist, and I'm sure that his personal beliefs differ significantly from what he advocates.
Karl Rove is indeed an ideologue of the highest magnitude. He doesn't necessarily do things that poll well, he merely packages his ideological desires into messages that poll well. Having said that, I don't think he cares much about social policy and uses the religious right as tools to achieve his economic policy goals.
Whether he is atheistic or agnostic is completely irrelevant to the question of whether he is ideological.