https://www.dmv.virginia.gov/vehicle...nstructed.html
This explains the term "replica" and allows you to register your Cobra under this clause as a "1966 Cobra". This would apply to the emissions etc. as if your car was an old 1966 Cobra. The caveat is that you cannot drive it more than 5,000 miles per calendar year. If your car was titled improperly, you should be able to fix that. However, that also depends on if you would agree to the 5,000 mile limit per year.