Virtually every state discourages this practice so the process would have to be done pretty well. It's illegal to swap plates to another car.
I am NOT saying don't do it except on the Dragon, convertibles, early Virginians, Darrin and 55's. THAT should be discouraged 100%.
Consider the market for muscle cars where documentation is so important to value. You have a pristine 1970 Dodge Challenger 6 cylinder with a great body. You have a rusty beyond recognition 1970 Challenger Hemi 4 speed car which if in auction ready shape would be a $200,000 car. The VIN plates (and Hemi parts) are switched and the seller fraudulently states it is a Hemi 4 speed car with "documentation".
Is it? No. So that's my only caution because this subject has been beat to death over on the AACA Forum where the subject pops up from time to time. So while technically illegal, who cares if the car is a "normal" KF car and not one which trades on rarity and provenance such as a Darrin or Dragon.
Dragons are borderline, but I would not want to even buy a Dragon which is one of 1277, that is nothing but a retagged Manhattan.