Can the GOP solve its birther problem before it's too late?
No.
I think they've actually conceded. Now they're just doing this to break balls. Just three months ago there was a chance I would have voted Republican in 2012. Now, unless Reagan comes back from the dead, there's no possible way; and I think I speak for a lot of moderate voters when I say this. Between Trump and everything else, they've made themselves unelectable until 2016. At the very least.
The establishment should have put a muzzle on Sarah Palin, and Faux News should have fired Glenn Beck, a lot sooner. They'd be in much better shape today.
