I don't think anyone is dismissing quantum mechanics just because it's intuitively weird. They're continuing to work on it, which is an optimistic strategy.
I think people do dismiss the many-worlds interpretation because it's intuitively weirder than the Copenhagen one, even though it makes a lot more mathematical sense. (It still fails to explain the Born rule, but that's a much smaller lacuna than the collapse mechanism required by the Copenhagen interpretation).
'a lot more mathematical sense'?
No, it'll only make more sense if/when it is able to make testable predictions different from the usual QM predictions.
All interpretations yield the same testable predictions, so the only way to choose between them is to say one is more or less simple/elegant than the other. Just like it's possible to construct Newton's laws of motion in a rotating reference frame, with multiple corrective terms, and end up with exactly the same testable predictions - but that theory is nevertheless in some sense "less true" than Newton's original theory.
