Will Proving or Disproving of any of the following have effects on Chemistry in general?
All right, let's sum it up.


P vs NP, if solved the way that pretty much everybody expects (that is, $\rm P\ne NP$), will have no far-reaching consequences, because that's what we were thinking for quite a while now. If it would miraculously happen to be otherwise (that is, $\rm P=NP$), that would be quite a shock to many fields, especially to computer science, and by extension, to computational chemistry. But I don't believe in miracles.
Navier–Stokes (no matter how it will turn out) will have consequences in fluid dynamics, and by extension, maybe in some relatively narrow areas of chemical technology.
Yang–Mills will cause repercussions in the areas of physics which are the most distant from chemistry.
The rest of the problems, as far as I understand, have no bearing whatsoever on our material world.