Um, quantum mechanics *is* part of the 'known laws of physics'. What it violates is our intuitions based upon classical physics. But classical physics is demonstrably wrong. That is why quantum mechanics was formulated in the first place: because classical notions were turning out to be wrong.<quoted text>My take on quantum mechanics is that it seems to defy the known laws of physics. Of course it doesn't assume a deity, but it deepens the mystery of what we think we know.
Since quantum mechanics violates our *intuitions*, some people see it as mysterious. But that sense is usually because they are holding onto some of the *wrong* notions from classical physics: such as causality, or that objects have definite properties at all times. If you attempt to understand quantum theory using notions from classical physics, you are guaranteed to fail. That is at least in part because classical physics is wrong.
The mystery, such as it is, is why classical notions are so useful above the atomic level. That was an issue that bothered Einstein and Bohr for a good part of their lives. But even that has been resolved using the quantum idea of decoherence.
One word of caution. There is a LOT of very poor 'explanations' of quantum mechanics out there. There are a LOT of overly dramatic descriptions of 'issues' of quantum mechanics. Every single one of those that I have found is attempting to understand QM from a classical viewpoint. They either want to assume that objects are only in one place at a time, or that objects have definite properties at all times, or some other classical (and intuitive) notions that actual experiments show to be wrong. And yet QM describes these experiments quite well. And *that* is why classical physics was replaced by quantum physics.