I would fit firmly in the independent category, like the plurality (and almost majority) of INTPs. I'm very libertarian but have Geoist influences and support for Pigouvian taxes (especially for mitigating environmental externalities). There is no party that agrees with me on what the issues are, much less what to do about them.
My one confirmed INFJ friend describes herself as a Christian Anarcho-Capitalist. She tends to support the Libertarian Party a bit more than I do, but is still independent. She and her fiance were major Ron Paul and Rand Paul supporters. (Also, apparently her political ideology was not enough to prevent her from spending a little time at the capital as a lobbyist for the positions her professional fraternity told her to support.)
Another girl I know whom I believe to be an even stronger INFJ (although to the best of my knowledge she has not taken the test) is not only a self described progressive who volunteered fro the Obama campaign but was employed as a field manager for the democratic party for more than a year after that.
My INTJ father is now a fairly stereotypical extremely partisan conservative republican. However, for a majority of his life he considered himself to be center-left and largely politically apathetic. At the time of their marriage my mother was still much more into politics than he was.
My INFP mother still considers herself a religious right conservative, but has always refused party labels. She is a lot more open minded than my father, and much less partisan. She is more tolerant and libertarian than my father. She is still no fan of Democrats though.
Her family members (especially her most likely ISFJ mother and ISTJ youngest brother, whom we visited yesterday) tend to be even more fringe right. During election season they often support the Constitution Party rather than the Republicans, but still support republicans in general and seem to really demonize democrats.
My father's late brother (who was also my mother's sister's husband) was probably an ENFJ, and tended to be a moderate democrat. He was a huge supporter of Al Gore, although he died from Lou Gehrig's disease 3 years before Gore became VP. (We recently received a cassette tape of him speaking at a meeting of the fellowship of christian athletes where he urged his listeners to support embryonic stem cell research to help find a cure for the condition.)
His wife was always pretty politically apathetic, and her children mostly moderate democrats. I'd guess she is an ESFJ, but I don't really know.
My oldest half brother is probably an ENTJ. He is extremely Pro-Capitalism and worried about the national debt. I believe him to be a rather partisan Republican. His most likely INFP wife is from a very progressive democratic family, but doesn't seem to care much about politics personally.
I'd guess my other half brother is an ISTP. I believe he is also a republican, but less serious about politics.
My sister is probably an ISFJ, although at times I think she might be an INFJ whose intuition is somewhat suppressed by her bipolar and OCD medications. She identifies strongly as conservative but is not really interested in politics. The few times she has expressed political views of her own they were practically communist, but in practice she'll just support the decision made by a trusted authority. Normally she just does what dad says, but in the absence of that information she follow whoever uses the most christian rhetoric. I can usually control how she votes best though, because even though I don't think she is actually following my arguments she says that I sound like an expert who has done the best research.
