Dear Laura
When you enumerating arguments for Multiverse, you could add also Darwinian evolution and Tegmark's mathematical multiverse.
It seems to me, that Linde's multiverse is very possible. Esspecialy, because a reason for big bang does not yet exist. But I do not believe in many worlds interpretation of quantum mechanics. Becase this means that free will does not exist. But this is strongly against my intuition. I hope that this can be possible to prove also mathematically.
I think that physical laws should be simple and this is a little in contradiction with anthropic principle, because any reduction of physical laws means reduction of anthropic principle. Reduction means, for instance, that G, h, and c cause that physics is dimensionless. Admittedly, when this simplification is not clear, there it is free space for anthropic principle. What do you think about this? I also do not believe in Tegmark's multiverse. My intuition says that QG theory should be written on t-shirt.
You addressed also a question of consciousness, which is important to explain physics.
Otherwise, I am more positivist, but, for instance, I disagree with positivists, for instance I claim, if a cause of Big Bang is not explained, Multiverse is possible.
Best regards,
Janko Kokosar