I run the same T6060 manual in my GT500 and I've had no issues with it at all despite making 700+ rwhp at the tires. As long as you actually use the clutch and refrain from speed-shifting too much, I think it will live just fine under the Camaro and survive pretty inflated power numbers.
As for the rear end, time will tell. I'm sure there will be more than a few people testing the limits of the car over the course of the next few months.
