Since Barack Obama took office, Jewish conservatives have been working hard to paint the president as too willing to press Israel on Palestinian issues.

But the latest Washington buzz could throw a wrench in that line of attack if Mitt Romney chooses Condoleezza Rice as his running mate.

That’s because as secretary of state during the George W. Bush administration, Rice was a strong backer of Palestinian Authority President Mahmoud Abbas, whom she described as a true partner for peace. She pushed hard for Palestinian elections, which in 2006 resulted in a victory for Hamas. She described the Israeli-Palestinian conflict as vital to solving the Iran problem. And she was the administration’s point person for pursuing Israeli-Palestinian negotiations, forging close ties with Israeli leaders who favored negotiating with the Palestinians.

Then–Secretary of State Condoleezza Rice and Secretary of Defense Donald Rumsfeld in Baghdad in 2006 photo/u.s. navy-chad j. mcneeley-cc

At the 2007 summit in Annapolis, Md., Rice reportedly told a closed-door meeting of Israeli and Arab envoys that her childhood experience with segregation in the South helped her understand the Palestinian experience.

“Questions will be raised on where she stands on Israel,” said Jonathan Tobin, senior online editor at Commentary magazine. “I think it would make it a little harder for Jewish Republicans to use the issue of support for Israel against the Democrats.”

The speculation over Rice comes as Romney prepares to visit Israel later this month.

While the bulk of Romney’s campaign attacks on Obama have focused on domestic issues related to the economy, one area in which the presumptive Republican nominee has sought to draw a foreign policy distinction is Israel. Romney has accused the president of being too willing to side with the Palestinians and not always standing strong with the government of Prime Minister Benjamin Netanyahu.

By contrast, Rice’s criticism of Obama on the handling of Israeli-Palestinian issues has been more tactical. For example, in an interview with Foreign Policy magazine, she argued that pushing for an Israeli settlement freeze was a mistake because it put Abbas in the position of having to be even more demanding by comparison.

Both Romney and Rice declare themselves champions of Israel’s right to defend itself. Both support the two-state solution (though Romney has steered clear of emphasizing that point during most of the campaign).

But where Romney has no history in foreign policy for hawkish pro-Israel critics to seize upon, Rice does. And while candidate Romney can stake out Israel-friendly positions, such as promising to make Israel the site of his first overseas trip as president, Rice has what many Jewish conservatives would see as baggage.

On the wider, overall topic of foreign policy, Rice has drawn conservative plaudits in recent weeks as she has echoed Romney in painting Obama as an ineffectual leader who has failed to lead on the world stage.

In any case, any speculation about how Rice could affect the Jewish vote is a bit premature — or, some say, far-fetched.

“Politicians of all stripes have always used the menu of VP selection as a way to court different constituencies,” said David Makovsky, a senior fellow at the Washington Institute for Near East Policy.

On the one hand, Rice could make an attractive No. 2 for Romney. She has plenty of foreign policy experience and could appeal to at least two key voter demographics: women and African Americans. Rice also could help sway undecided voters.

Yet while independent voters might welcome Rice on the ticket, conservatives likely would not. Her pro-choice stance is a nonstarter for many Republicans, and in many foreign policy debates during the George W. Bush years, Rice played the relative dove to Vice President Dick Cheney’s hawk — especially when it came to the Middle East, and especially in the second term after she had shifted from being national security adviser to secretary of state.

It seems unlikely that Romney, whose Mormon background and nonideological past as Massachusetts governor already have stoked misgivings among conservative Christians, would choose a running mate who does not appeal to the Republican Party’s conservative base.

Still, as when any president seeks a second term, November’s election perhaps more than anything else is a referendum on the incumbent. By that count, the person who occupies the bottom half of the Republican ticket really is a side issue.

“For Jews, I don’t think it will have an impact because as president, Romney is the one who makes the decisions,” said Seymour Reich, a former chairman of the Conference of Presidents of Major American Jewish Organizations. “Those who are unhappy with Obama on Israel will not let Rice deter them from supporting Romney. It’s the top of the ticket that always counts.”