Well, nowadays, the old Copenhagen idea of a wave-function collapse is not taken seriously by the vast majority of physicists anymore. Of course, it's still used as a convenient mathematical shortcut, because even a simple calculation might become a PhD thesis in post-Everett interpretations. However, apart from the inconvenience, using QM without collapse purely as a tool to obtain relative frequencies that can be compared to experiment, I don't think there is any problem or inconsistency in the theory. Of course, there is still some weirdness left, which is forced upon us by Bell, but as I said, we can't blame the theory for that. (I would consider every non-classical theory weird, but the world just happens to require a non-classical theory.)