Seems William Gheen from ALIPAC, while speaking at a TEA Party event, said that Graham is from the Larry Craig/Eric Massa side of the preference spectrum. Gheen asserts that Graham is so pro-amnesty only because ol' Linz is worried that the pro-amnesty forces will out him if he doesn't continue to push the issue. Gheen then suggests that Graham just go ahead and admit it so they no longer have this leverage over him.
A google search shows that this question has been being asked for a while. I have no idea if Gheen's claim is valid. In a conservative southern state, such an admission would almost certainly be a career-killer. But if it is true and Graham is essentially allowing himself to be blackmailed, that would be an even bigger issue - the idea of sovereignty over our national borders all going kaflooey because one fruitball can't keep his hands out of the pickle jar is just too much for me to handle.