why 225/45? .. curious
the Eagle GT is a fairly good tire. Tire Rack calls it an 'ultra high performance all season' tire.. which is what you want, though most other newer tires in this category perform better.
Here's their tests for the Eagle GT and Eagle GT Assymetric.. comparing with other top tires in the class:
Note that Bridgestone and Continental have tires that rate higher pretty consistently.
Either way, it's always possible to overdrive tires. I have overdriven my Star Specs (my track tires).. it's just something that you have to learn to control. Tires can only do so much, especially when you have so much torque. So yeah.. you might not quite have the best tires you can have, but you'll probably also need to work on controlling your throttle, turn in, when you apply throttle, etc. They teach you to be smooth on track for a good reason