July 31, 2012 2:49 PM EDT ››› ANDY NEWBOLD

Israeli Defense Minister Ehud Barak threw cold water on the right-wing media narrative that President Obama is anti-Israel, praising Obama for doing "more" for Israeli security than any other U.S. president.

In an interview with Wolf Blitzer that aired yesterday on CNN's The Situation Room, Barak responded to a question about the state of the current U.S.-Israeli relationship by saying, "I should tell you honestly that this administration under President Obama is doing, in regard to our security, more than anything that I can remember in the past."

BLITZER: You've studied U.S.-Israeli relations over many years. How would you describe the relationship today?

BARAK: I think that from my point of view as defense minister they are extremely good, extremely deep and profound. I can see long years, administrations of both sides of the political aisle deeply supporting the state of Israel, and I believe that reflects the profound feelings among the American people. But I should tell you honestly that this administration under President Obama is doing, in regard to our security, more than anything that I can remember in the past.

BLITZER: More than any other president? LBJ, Bill Clinton, or George W. Bush?

BARAK: Yeah, in terms of the support for our security, the cooperation of our intelligence, the sharing of thoughts in a very open way even when there are differences, which are not simple sometimes, I found their support for our defense very stable.

Barak's praise for Obama on Israeli security flies in the face of the right-wing media's false narrative that Obama is hostile to Israel, a narrative that goes as far back as 2008. These bogus attacks include claims that Obama and members of his administration are anti-Semitic and that Obama may use military force against Israel.

Just yesterday, conservative media figures added to this narrative by remarking that Obama, as president, hasn't visited Israel.

During an appearance on Fox News' Special Report, Fox contributor and Weekly Standard editor Bill Kristol praised Romney's recent visit to Israel while noting that "President Obama has not been in Israel as president of the United States." Fox's Sean Hannity similarly said that it is an "alarming fact that after nearly four years in office, President Obama has yet to visit our closest ally in the Middle East in what is now a very troubling time."

In fact, Obama visited Israel as a candidate, just like Mitt Romney, and it is not unusual for a president to not make a trip to Israel during a first term. Furthermore, none of the previous three Republican presidents made trips to Israel at this point in their presidencies, and neither Ronald Reagan nor George H.W. Bush traveled to Israel as president at all.