No, but three of them are, or were until recently, Cabinet ministers.
Compared with, for example, the influence of the Monday Club 40 years ago, this is indeed relatively small. But such people can still present a danger. Consider that in America, the Republicans have moved so far to the right that Mitt Romney, their standard-bearer 11 years ago, is now regarded as one of the most liberal Republicans in the Senate, and the daughter of Dick fucking Cheney was deselected for being too independent. Consider what Erdogan and the (Muslim in this case) religious right have done to the once comparatively liberal and secularist Turkey.