Carbon fiber is fine for bicycles. I used to run EC70 handlebars, but wanted handlebars outside of the few that Easton suggested. So i sold that and bought a Ritchey aluminum setup.
THat thing saw drops, crashes, it was fine. I would not hesitate riding a reputable carbon fiber frame either...
Carbon fiber is used on space craft, it is ment for high strength application. You will see it on cars, and I believe now some aircraft. Its used as the turret for giant windmills to generate electricity. Yes its strong enough for a bicycle