Having your plate in the window just looks a bit trashy (looks like the car is falling apart and can't even hold the plates, imo).

Beacuse your vehicle is already a priemium eye catcher (a wow car!) the cops will notice it more and they will notice you don't have the state plate on the vehicle.
Although the cops do seem to leave the old junker cars alone even when not having front and rear plate but just a paper copy of the plate on the windshield.

I know people that got pulled over a couple of times because they didn't have the front plate on their premium vehicle, though it was on the windshield but I think that got the cops attention even more.