I am a vegan. Is this conversation unreasonable?
Are you talking to the same person, or the same few people, repeatedly? There certainly are people out there who just are unreasonable. You can't expect individuals to change.
Otherwise, I guess (and I admit that this is biased in my favor) that you simply disagree with each other at a foundational level, and that's causing you to talk past each other.
I think that most people don't really know how to discourse with people who have differing ethical foundations, because it can lead to situations where a person who meets all the societal criteria of a "good person" is nonetheless committing (according to whatever ethical precepts) a horrible crime. But, in this context, accusing someone of committing a horrible crime is not unreasonable; in fact, it's too reasonable; it involves prioritizing reason over tact and politeness.
I haven't here advocated for making meat-eating illegal. If nothing else, at the current moment, that's infeasible for a number of reasons, and even if it became mostly feasible, there would probably always have to be some exceptions (e.g., people who have very specific dietary requirements, although maybe lab-grown meat could plug that hole?).
That said, thinking purely hypothetically, I recognize two likely endgame scenarios.
This is completely irrelevant. For me, veganism is basically just what happens when you take utilitarianism and extend it to include the experiences of non-human animals. I care about individuals. I don't care one whit about species per se.
I'll take both of these at the same time, because my thoughts on them are basically the same.
We were not designed by a god. We were not "intended" for anything. Evolution has no normative value. To believe that it does is pseudoscience (or, perhaps, pseudo-philosophy).
People who argue that veganism is "unnatural" are arbitrarily picking out one out of the innumerable ways that the lives of humans today differ from those of the past. If I suggested that we ought to revert to being subsistence hunter-gatherers in Africa living in groups of ~100 people, you would call me insane. So the mere fact that something is different from the conditions in which we evolved means absolutely nothing.
The question is simply this: can we reduce suffering? If we can, we should, regardless of how "unnatural" the solution is.
If you can provide me a scientific argument against veganism in principle, that would be worth considering. Merely gesturing at the need for supplementation says nothing to me. If it works, it works.
I haven't figured this one out for myself yet. I think the anti-pet people have compelling arguments, and I have a lot of cognitive dissonance over that fact.
This one I'm not sure about, at least right now, simply due our lack of knowledge. My guess is that it's theoretically possible to raise an infant as a vegan without any problems, but that it's more difficult to do it right. I don't know if I'd trust myself to do it. I think this is a problem that will require a lot of studies to figure out, but I also think it's worth figuring out.