> Also, how are you applying the many worlds theory? Aside from the fact that it's not universally accepted, and the fact that I don't have a clue how to falsify it, it applies to phenomena that could go more than one way. When I measure the spin on an electron, there are two possible values. The many worlds theory says that there are now twice as many universes, half with spin one way and half with spin the other way. Are you claiming that, when I drop a banana, there are universes where it falls and universes where it doesn't?
This is correct. Note that Many Worlds is not a theory, but a QM interpretation. But you correctly described how it would be applied. What can happen, will happen, in one of the infinite number of universes. The trick is to see all frames of reference over all universes. This way, there really are no preferred ones (in other universes, you do the FTL travel, so you enter these frames of reference, and then a causality violation happens in these universes). If you just look at the frames of reference of your universe, then yes, there would be a preferred one.
The actual problem is that Many Worlds is an interpretation of quantum mechanics, and nobody has ever actually attempted to combine it with special and general relativity, both because Many Worlds is (currently at least) not falsifiable, and because QM and relativity have fundamental incompatibilities, which need to be resolved anyway. So it's all speculation at this point. For instance, "all frames of reference", does this extend to all frames of all universes or not? It is unclear without merging.