Being a former politician, it should surprise nobody that politics has intersected with my gaming a lot. If not for my ability to mobilize the gaming community to vote for me at party conventions, I might have lost my job two years earlier.
That's not to say that the people with whom I game consistently share my political views or affiliation. My current DM, for instance, is very active in politics on the hawkish, pro-Bush wing of the Conservative Party of Canada while I am currently on my local riding executive of the New Democratic Party of Canada. At no time, either now or in the past, have opposing real-world political views ever interfered with my gaming.
But I think this is partly because people who do politics professionally, or at least as top-seated amateurs, automatically learn a lot of skills to help them get along with people who are ideologically opposed to them. In fact, because you spend more time in politics fighting with the members of your own party than you do with the other guys, it is often easier to build closer personal relationships with your opponents than your allies. Also, people who spend a lot of time in the game often come to find that they have more in common with their adversaries than they do with the general, politically-disengaged public.
The only way I can imagine politics interfering with gaming is if one's ideological assumptions about how the world works caused clashes in interpreting the rules. The closest the DM and I ever got to political disagreements were over how capitalism and the D&D economic system intersected.
But it sounds like something very different is going on in your group. I recommend, therefore, that you post a link to The Other Place where you are a moderator so we can have a discussion with sufficient information for us to be helpful.
(PS Sorry I forgot you guys were in town earlier this month -- I wouldn't have had time to see you anyway.)