If de Broglie is right and everything is a wave, then wave mechanics controls everything. Do you accept natural selection on any level?
In the absence of time, events cannot occur.
Or to put it another way, space and time do not pre-exist, they are created as the universe expands.
If you believe that wave mechanics is at the root, then you must also have some explanation for the origin of inertia, space and time - and of course, physical causality.
The scene of the Dodo birds in the animated film "Ice Age" comes to mind. It was hilarious, the point of the scene being that they were too stupid to survive.