Triple front shifters work just fine with double front shifters. No reason at all to buy a whole new pair of brifters.

And as grolby said, you won't be able to "kick it up a notch" with the compact double. A compact double gives you typically a 50/34 front ring setup, whereas a standard triple is usually something like 52/42/30. You'll find yourself going slower when you want to bomb down that hill, and you'll find it a little harder when you're comin back up that same hill. So yes, it's really a downgrade, and the only upgrade might be in the 'image' department.

Yes, it's true, compact double fans will purport that a double ring setup gives you sliiiiightly nicer shifting (those people have never ridden a properly tuned triple ring setup), a sliightly straighter chainline, blah blah. I mean, it's true. But no way is it worth losing speed off your top and bottom end (as well as a lot of cash). Stay with the triple, and be proud. Nothing wrong with it.