I think this describes my own political opinion to a tee. I agree with some stuff on the left, some stuff on the right and the moderate/centrist opinion on some others, and it probably equals out as centrist.
Still, I'm not sure I'd say this is a rare thing by any means. Indeed, I suspect a large percentage (maybe even majority) of the population has beliefs from all sides/corners of the political spectrum.
It's just that the current voting system in places like the US and UK encourages everyone to band with 'one side or the other', and groups a bunch of people/groups that likely disagree in many cases together as one party.
Plus given most people's mixtures of said beliefs are different to others, your average politician/party ends up having to appeal to a certain 'tribe' in order to get elected, since the percentage of people who 100% agree with a certain mix of beliefs is too small to get anyone a majority.