A short wheelbase tends to make the car react quicker, requiring the driver to react quicker to drive it successfully.
You should experience a Cobra.
90" wheelbase, and mine makes around 540HP, and you basically sit where the back seat would be, just ahead of the rear wheel.
When it steps out it happens really quick, and it can throw you around quite violently, especially when you regain traction and it straightens out.

All that said, a short wheelbase aids in weight transfer on acceleration.
This is why the first "Funny Cars" had their rear axles moved forward. It added static weight to the rear tires, and increased dynamic weight transfer on launch.