Curtis, go for it!!! You'll be fine on the main trail. Like you said, there is an army of other hikers on the trail. You might make new friends. I'm also assuming you must be talking about Trail Camp. There is also Outpost Camp at a lower elevation, but no High Camp.
I went up the North Fork and took the main trail down. Zoom in on this picture and you can see how busy Trail Camp was this past weekend.
I did my first trip not nearly prepared as well as you and made it back alive. :-) While having friends along definitely has its merits, you'll still have fun, and have the satisfaction of achieving this yourself. The trail is very easy to follow, especially if you're backpacking in the light.
There's also a GPX file floating around here and all over the web for your GPS...just in case. Relax, and plan on taking great pictures and report it back here!
EDIT: You might want to bring Deet. It wasn't bad when I came back down, but the next day at the Cottonwood Lakes a few miles away from the Whitney Zone, I was attacked mercilessly by the mosquitoes. Also bring a water filter and/or Iodine tabs. I used to think the water at Whitney was clean. When I went up this June, a guy got sick drinking unfiltered water at Trail Camp. This trip when coming down, I don't think I've ever seen so many wag bags ON THE TRAIL.
What's up with these people?!
