The traditional political spectrum is left vs. right. This is overly simplistic. A slightly more nuanced view is 2 dimensional--the same left vs. right, but also an up/down, with libertarian/anarchist at the top, and authoritarian/statist at the bottom, giving a square diagram.
I forget which episode, but on the Vicious Circle podcast someone said that the proper diagram would be a triangle--As you move towards libartarianism the left vs right difference matters less and less, because there is less government, and therefore a larger chance that whatever it is you are worried about will fall outside the scope of government intervention.
I used to work with a very fundamentalist Christian-According to him, the bible says it is wrong for women to rule over men, homosexuality is an abomination, etc.. I wound up convincing him that religion should not be a basis for government policy by asking him "What do you think the chances are that the particular version of government Christianity used will match yours?" The same basic thought works regardless of belief system.