Well, the most religious of each political extreme put their religion over any other belief, including magick, but there's a good portion of each as well which study and practice magick of all flavours.
Also there are those who are with a foot in and another out, which come from a very religious background but are curious about magick and the occult (or viceversa maybe) but likely not the majority. Even if certain religious practice are magickal, their devotees would never admit that, unless it isn't taboo or an active part of worship.
Now I know lefties tend towards secularism and atheism but it isn't unlikely that conservatives also are like this, and even when ideologies look very different on paper, the behavior of extremists is very similar no matter their reasons for acting like this, their ideology or faith, they are mostly dangerous in some form or a have very unworked unconscious mind.
And of course, Politics is a form of Magick. It puts people under a spell, the idea that they have to give their power away to someone who can't use it effectively to fix what needs to be fixed, the idea that you can delegate your responsabilities to someone else. Even mages and witches have fallen under it.