Interpretations of quantum mechanics are not really something that a lot of physicists worry about and, in my humble opinion, they aren't that interesting anyway. The idea of 'interpretations' is mostly a relic from the days of Bohr and Einstein. Their approach to physics was quite different from today. Virtually everyone agrees that the act of measurement is nothing more than the entanglement of the 'experiment' system with the 'observer' system, and that as far as physics is concerned, that's the only thing that matters. You can call it 'wavefunction collapse' or 'choosing a world' or whatever you want, you're talking about the same idea. In fact physicists often use these various metaphors interchangeably.
There are a few slightly more interesting concepts that are related to interpretations, such as if hidden variable theories are plausible (they'd have to be non-local and super-deterministic to be plausible) or if Bohmian pilot wave mechanics is an adequate mechanism for reality (it's not yet known whether it can incorporate special relativity, and that's really really important for modern physics since the standard model is intimately tied with special relativity).
I guess you could say that the many-worlds interpretation is the closest to a 'consistent' interpretation. But there's a danger here. Just because it's a consistent interpretation doesn't mean that there must actually be an infinite number of 'worlds'. At the end of the day, it could turn out that quantum mechanics is just the result of some unknown, deeper theory, and that there is just a single world.
Virtually everyone agrees
Have you actually talked to physicists about this? I have and that is the opposite of my conclusion.
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