I did a tri on my hybrid.
Kicked butt, if I do say so myself!
My hybrid had geometry fairly similar to cyclocross geometry. Of the 3 bikes I have now, 2 are cyclocross and 1 is "sport-touring." Honestly, I don't go much faster on them than I did on my hybrid, if at all. What is different is the positioning with my bars, the lack of road buzz, and the lighter weight. (all my bikes are steel, and all are much lighter than my aluminum hybrid)
The weight makes NO difference to my ride, but it does make it much easier to haul the bikes up and down my steps. The road buzz is huge. Steel is like butter, and soaks up the buzz. I can ride MUCH farther on my steel than I ever could on aluminum. It just feels like magic. Some folks feel road buzz, some folks don't. My Kona Dew hybrid was the only aluminum bike I've ever had (all the others have been steel). I will probably never buy aluminum again.
Being able to change positions on the bars is also huge. There are more options now for hybrids than there used to be. You could consider switching out your hybrid's bars for things like mountain touring and moustaches if you find the bars on other bikes are what appeal to you.
I'd suggest trying a Jamis Aurora and a Surly Cross Check. See if they feel like flying. If you don't feel much different, try a more aggressive bike like the Surly Pacer.
But please don't sell your hybrid! It's always good to have an all-rounder bike and a sexy-go-fast bike. 
More bikes, more better!
Last edited by KnottedYet; 07-05-2011 at 07:58 PM.
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