Considering the successes of the space program of both nations, I would say the U.S. is far more prepared than Russia at this time.
I just said that russian space industry may do that for fraction of cost then american space industry.
Yet those savings would be penny-wise and pound-foolish. As another already pointed out, the failure:success ratio in Russian spacefaring is much larger than that of the United States. Bottom line: if given the choice between sending a manned mission to Mars in 10 years for X dollars and not having them return, I'd rather opt for a manned mission to Mars in 20 years for 10*X dollars and have them return safely.
It's never a good idea to cut corners on safety and redundancy. And from the looks of things, that appears to be precisely what the Russian space program does.
Yes, the U.S. space program has 17 casualties to its name. All losses were tragic, but considering how far we've gone, the casualty rate is exceedingly low. If we'd ignored safety and redundancy on the scale that the Russians have consistently done, the work-related mortality of our astronauts could easily have been three- or four-fold what it is.