You might have trouble with your PCV system especially if you vent to atmosphere. That's easy to get round though a catch can and pluming back into intake should be ok.

Some states get picky about exposed air-filter elements, but air-boxes can look pretty tough too.

I had a good run, I even ran gauze on a few rainy days and got pulled over but they didn't say anything about noise ('routine check'). They can get very loud, at about 4500rpm I would say the induction noise was louder than the exhaust. The sound truly is exhilarating.

Seeing as your coupe is pretty tidy I would say you would have no issue as many routine checks are exactly that; a routine check of a very appealing car- they want a closer look.