Do you think you'll have enough nerve to keep your foot in it to take advantage of the aero grip in the turns? The slicks are one thing, but that MkII is probably glued to the tarmac at speed.
Yes, not a problem, I've been driving aero cars for years now.
One of the big "secrets" of driving track cars, particularly aero cars, is that it's not really a question of nerve because you're not driving the car based on how fast you think you can go. Rather, you're driving based on the feedback you're getting from the tires and the chassis. I call it driving by feel, rather than driving by vision.
You can feel the front tires sliding across the tarmac through the steering wheel; you can feel the rear tires through the seat; you can feel the overall balance of the car (how much the front is sliding vs how much the rear is sliding) by the difference between where the car is pointing and the steering you've input. In an aero car it just feels like you have more grip in the high-speed corners, almost like you're on fresh tires or high-grip surface, and you drive to the grip available.
There's more to it, of course, but that's the basics. Aero cars make high speed turns feel like they have more grip, and you use it.