A spokesman for Palin’s political action committee, SarahPAC, declined to comment. But inside Fox News, the exchanges have drawn attention. And partisans on both sides of the Palin divide – those who love her and those who hate her – have taken notice as well.

“Whatever she’s for or not [on immigration], Bill O’Reilly doesn’t seem to have much respect for her ‘insights’ on the subject,” wrote the liberal website Newshounds.us. “For the second time in a few weeks, he virtually destroyed her credibility when she was poised to use his show to boost it.”

But a website with a close association to Palin – Conservatives4Palin.com – lashed out at O’Reilly.

“Mr. O’Reilly prides himself on being fair and balanced. O’Reilly regularly proclaims that when he interviews Governor Palin he’ll be fair without asking her gotcha questions. Well, on Friday night O’Reilly broke his own rule,” said the website.