I assume you're talking about the Pikes Peak Hillclimb? I've gone to the race the last three years, although never on my bike.
I'm debating going this year, but haven't committed yet - if I do go, it will be on my Speedy. I wouldn't hesitate to ride it up there, although if I do go (to the race that is) the odds of actually going to the summit are slim. You really don't want to watch the race from the summit.
I can't really comment on what your bike will be like at that elevation, but that road is a pretty slow speed road - so you shouldn't have to worry about staying out of anybody's way.
I may take my ride up to Mt. Evans in the near future - which is just as high. That should be a learning experience.
