The easiest thing to do is...buy another more suitable car!
The Fury is an off road car with large suspension travel and high bottom clearance.
Change tires is step one. This will give you tons of grip if chosen correctly. Indeed this should be race pedigree on-road tires.
Step two is the most time consuming one: make your off-road car a on-road car!
lower the ride, shorten the shocks (replace them might be the best option. And add sway bars (anti roll bars) front and rear.
somebody already put a how to online on our forum how to add sway bars to your Fury. Unfortunately there is no upgrade kit available for a Fury, so you have to built them yourself, as explained in the howto.
Step 3: Tune your car for the track. Camber, toe in etcetera. And mind that an oval means cornering only in one direction. NASCAR's for example do not drive in a straight line when for better handling on an oval.
Evan an option to consider is to lock the diff complete, as you see in RC F-1 and NASCAR