Luckily, in this particular arms race, all we the public need to do is swap encryption algorithms, and there's no risk of ending global civilization if we mess up. So we get the best of both worlds: Quantum computing for civilian purposes (simulations and whatnot), while none of the terrifying surveillance capabilities. We just need to update a couple of libraries.
By what margin? An active push can minimize the gap.
However I think you're confusing the existence of a CRQC with adoption of PQC algorithms. The latter can be done in the absence of the former.