David Berman, a senior research fellow at Arizona State University's Morrison Institute for Public Policy, said some will likely disapprove of a recall so soon after the November general election, making the prospect of ousting Arpaio a long shot.

NPR: Recall Bid Against Ariz. Sheriff Faces Tough Odds

What's more, says Cornell University law professor Trevor Morrison, the law does not provide a key element of habeas corpus.

NPR: High Court Hears Detainee-Rights Case

If the House finds Holder in contempt, it is unlikely he will be prosecuted for criminal contempt, according to Alan Morrison, associate dean at George Washington University Law School.

CNN: Contempt vote inflames Fast and Furious debate