I didn't catch your comment for a long time, because it wasn't in response to my own and thus didn't light up the red message symbol. Just stumbled over it by accident, so here's my response a mere 1,5 months later:

I feel next to no conflict or friction between my rational and my emotional self, whether I'm on my own or with company. I radically adhere and submit to the guiding principle that "if it is true, I want to believe it and if it is false, I want to reject it". So if I happen to have some kind of innate feeling or intuition about some objective topic, I immediately catch it and just kill it off as best I can (usually pretty good) in favor of a rational analysis. But these days I usually don't have many of these "emotional preconceptions" left anyway. Over the years I buried so many of my favorite emotional preconceptions about every imaginable topic in favor of what appears to be "the truth", that the act of giving up some idiotic emotion about a serious topic in favor of a better model hardly stings at all anymore. It feels quite good to let go actually, it's a kind of progress I thoroughly welcome. Often I really don't have any discernible emotion one way or another, even towards highly contentious and controversial topics.

Now if I am in the company of other non-Bayesian people (especially women, with whom the whole point of interaction usually isn't information-related but purely emotional anyway), I put my rational machinery to rest and just let my instincts flow without paying too much attention to how rational everything I (or they) say is. That's because enjoying human company is first and foremost about exchanging emotion, not information or rational argument. (Although I have to admit that it always feels like a shocking slap in the face, if suddenly it turns out that she believes in astrology et al. I have to admit that a brain failure of that magnitude kills my libido faster than the kick of a horse). So yes, my red "light bulb" that says "irrational/unproven belief" still gets triggered a lot in typical conversations with the average Joe and Joy, but not every instance justifies the break of rapport in favor of starting an argument. Actually I realize that I tend to argue much more often with guys (maybe because arguing can be a way to establish social status) than with girls, where I often just skip the logical loopholes and inconsistencies in favor of maintaining rapport.

Come to think of it, that is actually a rather rational strategy, given my heterosexual utility-function ;)

If I am interested in improving or expanding my mental model of reality on the other hand, I crank up my "bias & rationality" machinery and have a careful in-depth conversation with someone who is up to the task.

If I'm doing something irrational like procrastinating or playing a game instead of furthering my goals, then often the rationality module kicks in and says I'm a bum wasting my precious (though hopefully unlimited) life-time. Often I can't (or raher don't want to) stop having fun however, so I just gently smother the rational voice in my head with a pillow and score a new record time in Dirt 3 instead. I suppose that's roughly the highest peak of conflict between my emotional needs and rational goals - but unfortunately, especially when it comes to hedonistic procrastination, the rational component doesn't put up much of a fight, which is certainly less than optimal.

Actually, I'm procrastinating right now instead of studying Psychology, so farewell.

In conclusion: It seems we aren't all that different, except that for some reason you seem to have some kind of problem with the "conflict" between your rationality and your emotions, which is something I don't really care about. The important thing is that I can use my rationality when I actually need it, not that I constantly use my rationality to smother every single possibly irrational emotion at every given opportunity. So where is your particular problem and why is any of this important again?