Risers connect directly to the triple clamps and usually are straight, but lately I've seen some that bend backwards on some chopper models.
You could install bar backs between handlebar and risers, if your chopper isn't laid back enough or if you have short arms. I installed a drag bar on my Intruder 1400 (picture posted here somewheres) and installed way higher risers to make up for the flat handlebar.
The nice thing about bar backs is that you can install them quick and easily, while changing the handlebar, grips, brake/clutch levers and mirrors and adjusting them again on the new bar is more work intensive and you may even scratch your tank in the process. A handlebar is cheaper than those CNC aluminum bar backs, so if you don't mind spending some time working on your bike (no big deal, I changed lots of handlebars) and want something like a permanent set-up, go for a new bar. But if you look at the pics of the FZ6, it's kinda cool to have the same-looking handlebar but a but in a slightly more back position. And if you want to go racing, they come off in five minutes!