I know what he thinks: he agrees with me.

I'm skeptical of the claim about Deutsch. Why not actually test it? A Popperian should try to poke holes in his ideas. Note also that you seem to be missing Jim's point: Jim is making an observation about the level of emotionalism in your argument, not the correctness. These are distinct issues.

As another suggestion, we could take a bunch of people who have epistemologies that are radically different from either Popper or Bayes. From my friends who aren't involved in these issues, I could easily get an Orthodox Jew, a religious Muslim, and a conspiracy theorist. That also handles your concern about a sample size of 1. Other options include other Orthodox Jews including one who supports secular monarchies as the primary form of government, and a math undergrad who is a philosophical skeptic. Or if you want to have some real fun, we could get some regulars from the Flat Earth Forum. A large number of them self-identify as "zetetic" which in this context means something like only accepting evidence that is from one's own sensory observation.

Not a single one of them considers it plausible my position on this stuff is a matter of emotions.

Jim is not suggesting that your position is "a matter of emotions"- he's suggesting that you are being emotional. Note that these aren't the same thing. For example, one could hypothetically have a conversation between a biologist and a creationist about evolution and the biologist could get quite angry with the creationist remaining calm. In that case, the biologist believes what they do due to evidence, but they could still be unproductively emotional about how they present that evidence.