Only Sarah Palin has worse numbers than Christie in new CBS presidential poll

A new CBS poll shows 29 percent of Republicans would like to see Christie run for the Republican nomination for president. But 44 percent say no. CBS points out "Only former Alaska Gov. Sarah Palin's numbers are more underwater: 30 percent of Republicans say they'd like to see her run, but 59 percent disagree."

Fifty-nine percent of Republicans would like to see Mitt Romney jump into the 2016 race, while 26 percent believe he should stay out.

"Fifty percent of Republicans would like to see former Florida Gov. Jeb Bush on the campaign trail as well, while 27 percent disagree," pollsters said. "If both Romney and Bush run, analysts expect them to wage a competitive battle for the allegiance of the Republican establishment."

Numbers for some of the others often mentioned:

-- Former Arkansas Gov. Mike Huckabee: 40 percent of Republicans urge him to get in, and 29 percent say stay out.

-- "Twenty-seven percent of Republicans would like Kentucky Sen. Rand Paul to mount a bid, but 34 percent disagree. Twenty-six percent would like Florida Sen. Marco Rubio to run, while 19 percent would not. Twenty-one percent want Texas Sen. Ted Cruz to run, while 25 percent want him to not run."

-- Gov. Rick Perry of Texas: 21 percent yes, 29 percent no.

-- Gov. Bobby Jindal of Louisiana: 14 percent yes, 20 percent no.

-- Gov. Scott Walker of Wisconsin: 22 percent yes, 12 percent no.

Maybe winning isn't everything after all. "Republicans, by a 61 to 35 percent margin, believe it's more important to have a nominee who agrees with them on the issues than a nominee who can win the general election," according to the poll.

And it's not just Republicans. "Democrats are similarly concerned with ideological purity: 63 percent say it's more important to have a nominee who agrees with them, while 35 percent say it's more important to pick a winner."

Eighty-five percent of Democrats want Hillary Clinton to run, 11 percent don't. VP Joe Biden has 40 percent wanting him in, 38 percent don't. Twenty-three percent say Massachusetts Sen. Elizabeth Warren should launch a bid, but 20 percent disagree.