i've seen this car before. Plymouth never installed a vinyl top like pictured on this car on ANY 67, 68 or 69 Barracuda. the above car also appears to be a 68 as it has a 68 grill and 68 tail lights. the below 69 Barracuda has the correct "factory installed" vinyl top - it was called a "slick back."
I know Mexico Fastbacks had the full vinyl top. There is on near me that comes to the local show. Its a 68 not sure if they did it on all 3 years fastback. I know for sure they did on 68 I have seen a few.
Not sure about UA built cars.
