Careful what you do on public road... You are driving a new car and are likely still getting used to the characteristics of the car. I would hate you hear about you getting a ticket or even worse...killed.
Take the car to a local autocross event. You can push the car to it's limits and beyond for only $20 a day. I think it is more fun too.
In order to maintain the speeds in the corner try to figure out the minimum breaking needed to enter the corner. Then maintain the speed until you as the apex. You should then be able to plant the gass pedal and not have any unneccessary wheel spin. Front wheel drive cars have a nasty habit of spinning the inside wheel if you are too hard on the gas exiting a corner.
The best way to solve this problem is to add a stiffer suspension including front and rear sway bars. Then the balance of the car will be closer to the center and with better weight distribution in the corner you will less likely be spinning any wheels.
Or a nice LSD would help but that is mucho $$$.
Try the autocross. You won't regret it.
