Keep in mind when/if you decide to start stripping that thing that the chrome plating on that grille, if its original, is over 30 years old. Most of the grilles I have seen, except the one or two boxed NOS pieces, have issues with the plating getting brittle and peeling up off the plastic.
If you plan on stripping the paint off that chrome, just remember that you're not dealing with metal chrome, and it won't be near as forgiving. I'd be very concerned about how any type of harsh chemical would react on that plating.
Just a word of caution. If you can strip the thing and keep the chrome intact, it should look really sweet. That's some delicate work, but would be very rewarding if you can accomplish the feat.
I wish we had someone on the forum who was an expert in vacuum metalizing plastic. We've got an expert now that's reproducing the SS grille, if only we could find someone willing to plate them. . . .
J