I work on quantum gravity, and no one I've learned from/worked/corresponded with actually thinks that. There are something like 30 research programs and the search for quantum gravity has been going on for more than a hundred years, which just means it's a hard problem, like proving P != NP.
In fact, the new hotness is ER=EPR, which would put spacetime curvature (ER) smack in the center of quantum field theory (EPR).
By the way, the Standard Model works
fine. N.B. It doesn't encompass gravity, that would be a unified field theory.
We keep looking for strange particles like axions and such that would go outside the Standard Model, to explain the things the Standard Model cannot, which is the exact opposite of "looking the other way". Supersymmetry for example, which was such an elegant idea, has a steadily shrinking parameter space thanks to the LHC failing to find super-partners to the Standard Model of particles.
Finally, math doesn't just explain the universe, it explains all possible sets of principles (or their lack) for all possible universes. Our understanding of it is, naturally, limited.