Although the GOP was largely out of power until recently, it had ample opportunity to craft alternative solutions. It's not like there were zero GOP members in the Congress.
The issue is that the GOP tends toward conservatism, meaning in general that they'd rather not propose, much less pass, solutions. This is a characteristic by which I can lump them together. They want things to stay the way they are, or, worse, to go back to the way they imagine things were in some idealized, romanticized past.
I think it's great to have a faction opposing change. It ensures in many cases that policy doesn't overreach its goals. Note also that conservatism crosses party boundaries into the DP (ignoring, of course, that several conservative Democrats were recently ousted).
But it sure annoys me when they manage to hobble the really good ideas, which includes most prominently the health care fiasco. I think it's fair to say that bit of legislation, more than any other, has inflamed the conservative base. I'd attribute that to fear that changes to the health care system may lead to declines in the quality or availability thereof. Or, in other words, fear of death. I think that's something we all share. If we could just admit we're scared shitless of mortality, that itself would be a step forward.
That said, I personally perceive the conflict surrounding reform as a tension between those who want to keep what they already have and those who want to extend that same benefit to more people. But as with many things in life, that's really a false dilemma. It's not a zero-sum game, and spreading benefits to a wider population doesn't necessarily entail reducing existing benefits. Sure, the bill that made it through Congress isn't what I or some other liberals would have preferred, but from what I've seen, it's a damn sight better for more people than what came before. For me, you could say pragmatism won out.