Yes, we have roundabouts in the U.S. -- especially in Washington, D.C. which was designed by the Frenchman L'Enfant.
http://www.cr.nps.gov/nr/Travel/wash/lenfant.htm
LOL, you know how those Frenchmen have to have roundabouts to control the "mobs" with grapeshot. We have long "radiating" avenues that have them every so many miles. Our most famous is Dupont Circle:
http://www.aaccessmaps.com/show/map/dupontcircle
Look at these pictures, Washington has the "older" circles, very complicated with multiple lanes going all which way and stoplights, etc. Almost as bad as Paris and Rome I think :-)
http://www.iihs.org/research/qanda/roundabouts.html
I just hope you aren't too scared next time you go out. The crying helps I think, gets it all out of one's system :-)