You need to autocross your car, my friend. You are asking a question about how your car might handle. Besides that question, there are a number of other handling characteristics of your car that are also important, that you don't know, and you don't know that you don't know them. It all will become more clear if you autocross. There will be surprizes.
In answer to your question, I am finding that an empty tank of gas is not the thing to bring to autocross, because the car is too light in front to get great steering traction. Recently, I noticed the MASSIVE amount of steering traction I get when I am braking fairly hard. It was startling how violently the front would move under this condition.
Yes, 50/50 cars handle well and that is considered an ideal setup. Our cars are a bit more interesting. Gumba is correct in that the extra tail mass and weight is a very entertaining feature. At autocross, you will seek out and find the delicate balance between what we call "throttle steer" and what we call "lift-throttle spin." My first autocross was in the pouring rain, and I went there determined to spin the car but failed to achieve that goal. Now, I autocross on warm dry pavement with the goal of NOT spinning, and I fail. And laugh out loud.
And Gumba is right about another thing. That 'rotating' thing is really fun, though it takes quite some time to master. You can dive the nose around the cone by lifting and tapping the brakes, at speed this slides the tail around and if you punch it at the right time, you squirt out of the turn a LOT faster than your otherwise could. It's really fun to watch someone who's good at this. You need at least three legs and feet in order to be a champion autocrosser.