Here's some advice for the Mile, although Keith already stated it very well.
The main thing is that we're there to have a good time. With that in mind, drive within your comfort level. This is a great venue for people to be able to experience something they most likely will rarely run into, and that is taking their GT well into the triple digits. We'll have plenty of time to make runs with less than half their normal lineup and none of the bikes or more extreme vehicles that require a little more time, so please feel free to gently nudge your speed as you gain experience and comfort on the runway. Whether you cross at 100 or 150 or 200, you'll have a wide runway and plenty of run to do it in, so please, don't think you have to run your car to the max asap. Just do what you feel comfortable with.
Also, unless you really are after the maximum number your car can produce, do not take off from the line extremely hard or slip the clutch. The run is over 5000 feet, so blazing out of the first 60 isn't as relevant when you just want to do some speed runs. The clutch in the GT is resilient for the occasional incident, but it will not tolerate significant slippage like you would with a something like a Z06. At El Toro during Rally II there was a great deal of white smoke wafting around the start line, and very little of it was coming from tires. That's the one sure way to shorten the useful life of your clutch, or flat out end it.
During the run, keep your eyes ahead of you. You'll most likely be near redline in 4th if you're near stock or just getting into 5th when you hit the mile. With few shifts, a few hundred rpm here or there aren't nearly as important as focusing on where you are going.
When braking, I do not recommend panic stopping from vMax. That's where practice runs to get the feel come in handy. As long as you remain cognizant of where the finish is, you'll have plenty of room to stop in most of the cars. I've hung myself off the seat slamming the brakes at 175 at the track, and the car can behave much more unpredictably under that tremendous pressure. Mentally saying "Oh $#&%" and wondering if you'll stop before the end is not a pleasant feeling. At Oscoda, Peak's car panic stopped from 200 in just under 1100 feet. That should give you an idea on the leeway you have to ease onto the brakes and apply much harder pressure as you lower your speed. At 186 mph, you're going a football field a second, so it's not that much time, but you won't have to get off the throttle and slam the brakes.