If your goal is more along the lines of 'comfort bars' than 'aero bars' then you can certainly slap some clip on bars onto your current bike. Yeah, it'll get your front end lower and improve your aerodynamics in the process but if you like the tri position there's nothing wrong with running clip on aero extensions on a bike with a less aggressive geometry. Lot's of folks do that for century rides and have their aero bars set very high and comfortably compared to aggressive time trial or triathlon positions where racers are emphasizing speed and performance over comfort.
So as Tafi suggested above it depends a lot on your goals. If you're not planning to race seriously and are looking for more positions than you currently have with your flat bar setup you can definitely add clip on aero extensions but you don't have to set them like Cancellara. Seems to me decent options include:
- Adding clip on bars to your current flat bar setup. This is the least expensive route and pretty easy. You'll probably need to shim the aero bar clamps to fit your relatively narrow flat bars but that's still easy.
- Adding mountain bike style bar extensions to the ends of your flat bars to open up a few more hand positions. Something like this: http://www.jensonusa.com/store/product/BE409A05-Profile+Design+Sos+Boxer+Barends.aspx
- Swapping your current front end for a set of road drop bars. A bit more expensive since brake levers and shifters will have to be changed out. A big part of the reason folks ride drop bars even on touring bikes is for all the various hand positions they offer.
- Running road bars plus aero extensions set up as 'comfort bars' will give you the most positioning options but again will cost you a bit by the time you buy the parts and swap out brake levers and shifters for the drop bars.
- Buy a dedicated road bike. Great if you've got the budget and if you're interested in riding more and or riding faster. Most of us have more than one bike, for instance one for nasty weather riding and commuting and another for going fast or going long on nice days. Nothing wrong with building a quiver of bikes that suit your needs but of course this is a pricey route to take so it depends on your interest level and your budget.
But you don't necessarily 'need' a dedicated road bike to open up more positioning options and if you like the lie down position offered by many gym ergs then there's nothing wrong with setting up bar extensions with an emphasis on comfort rather than flat out speed. Lot's of people do just that.
Good luck,
-Dave