Most of these cars will have traction issues if you hit the throttle hard in a low gear. You pretty much have to start at about quarter-half throttle and then once going you can add more throttle.
To give you an idea of the degree of power-weight ratio many of these cars have. My cobra has approximately 500 hp and it is an FE, so torque is high on the low-end. When I first started driving the car, there were a few times as I was getting used to the shift pattern that I started in 3rd gear and the car did not chug at all and I did not feather the gas.
The only way that I knew that I was in 3rd gear was that the rpms were running too low for 1st and I wondered why? With a 3.54 rear-end ratio the car gets up and moves without flooring it.
a lot also depends on the rubber that you are using. A softer compound will grip more and break loose less than a hard compound.