I just doubt it would make much sense as a race-car. It seems like everyone wants their favourite company to enter their favourite series with their favourite cars - but usually, especially in the top-classes, it takes more than just a will in order to be competitive.
Yes, most roadcars can do fairly well in balanced touring-car series or GT classes with with the appropriate modifications - but you can't just take ye random carmaker and enter Le Mans or F1 with any car. A car built as a high-speed streamliner, with long overhangs and negligible downforce would, frankly, suck at Le Mans, bigtime.
A similar example was the "manufacturers you want in F1" thread. Apart from those reminiscing about the past and naming classics like Lotus and Brabham, the names of Audi and Mazda popped up quite often. What people often don't realize is that every sport has it's restrictions - Audi wouldn't be able to use their Diesels and quattro, while Mazda's rotaries would be of no use. Also, the trademark can make a small brand stand out and gain fans, but isn't necessarily the best option in racing-conditions - there's a reason why everyone eventually raced V10 engines, until they were locked into place.
For those same reasons, the Aerotech, in Le Mans trim, would look no different to any other prototype racer of the era, simply because that's what worked fastest at the time. It would have smaller overhangs, a brand new race-worthy chassis, wings, and a slightly more usual (for a prototype) design. And then it would no longer be any different from other prototypes.