I don't like flat bars in general. Generally means increased stress on your upper body because you can't change hand positions unless you add bar-ends, switch to trekking/butterfly bars, etc. But that's me, you might prefer them.
Now here's why I don't know if it's a good idea for you. While in theory this can be done - and I've seen people do it - you're trying to take a racing bike and change it to something quite different, kind of a lightweight carbon fiber luxo-cruiser. The geometry of this bike doesn't lean in that direction.
In addition, you might wind up replacing a heck of a lot more than the drivetrain. I would think a more upright stem would also be needed. So in the end, sure, you can try, but I don't know you'll be satisfied with the results.