Somehow I doubt it.
Typically, the left is better at this sort of thing. The right’s inattention to this and the other similar stings that are sure to follow will become glaring. It would be smart of them to take this on and try to refute it. My guess is that they’ll first try to ignore it, letting it get a lot of play in other venues.
Then, at least some of them will feel compelled to respond, but by then it will be too late.
On a tangential but relevant subject, as Alex Koppelman notes at Salon, rightwingers are often very, very bad at the intertuubz:
Update: Once again, the redstaters don’t get teh satire dripping from Ayers’ “admission.”