If Sarah Palin is harboring ambitions to run for President, a new CBS News poll shows an obstacle in the way: Most Don’t Want Sarah Palin to Run for President.

A new CBS News poll finds that a large majority of Americans say they do not want former Alaska Governor Sarah Palin to run for president.

Specifically, 71 percent say they do not want the former Republican vice presidential nominee to run for president, while 21 percent say they do want her to run.

When the results are split out by party, 56 percent of Republicans say they do not want her to seek the office and 30 percent do. Meanwhile, 88 percent of Democrats do not want her to run. Among independents, 65 percent do not want her to run and 25 percent do.

The poll also finds that more people view Palin negatively than positively and that her book tour did not improve overall views of her. However, she is a little better-known now than she was last fall, and both favorable and unfavorable ratings of her have increased slightly.

This far from the election, things can still change, of course. But these numbers are not exactly encouraging for Palin’s political future, and it gets worse — because even among self-identified conservatives who like Palin, a majority think she shouldn’t run.

Conservatives are the only ideological group that holds net positive views of her — just under half do, while a quarter are unfavorable and a quarter of conservatives are undecided.

But while favorable toward her, most conservatives say they do not want to see Palin run in 2012 – 58 percent of conservatives say she should not run.