If you accept this universe is simply mathematical function, weirdnes goes away. Function, that is itself probably intersection of multiple functions, some of them being evaluated backwards of what we percieve as "time", therefore creating weird effects in our perceived direction of time.
Actually, laws of physics in not all that interesting to me (beyond some level), because physics is going after "particles" and "forces" that happen to be in this function, describing this universe. There is infinite number of other configuration. Function y = sin(x) exists just like our universe, so does set of integer numbers or PI.
If "universe" is locally predictable in one direction (which becomes "axis of time"), then self-replicating features (life) can emerge. In the case of our universe, there is atomic/molecular level complex and yet locally perfectly predictable, that enabled (under "perfect circumstances"?) life forms. atomic/molecular level isolates low level quantum weirdness. After all, life doesn't care if this function is predictable at ALL levels, molecular level is enough, and it happens to be good for many other reasons. There is so many random things needed for universe to sustain life, that probably insignificantly small portion of functions has any self-replicating (living) features, let alone intelligent.
Why should I be surprised by weirdness of quantum world then? It never needed to be predictable in our direction of time.