UPDATE 6-Biden tells Arab leaders that U.S. is committed to region

* Biden says U.S. will remain committed to allies

* U.S. hoping to integrate Israel

* Saudi crown prince pushes back on human rights issue (Adds Biden quote, MbS comment)

By Steve Holland, Aziz El Yaakoubi, Jarrett Renshaw and Maha El Dahan

JEDDAH, Saudi Arabia, July 16 (Reuters) - President Joe Biden told an Arab Summit on Saturday that the United States would remain firmly committed to its allies in the Middle East and was "not going anywhere" as he lobbied for a regional security alliance that would integrate Israel.

Biden, who began his first trip to the Middle East as president with a visit to Israel, presented his vision and strategy for America's engagement in the Middle East at the gathering in Jeddah.

Saudi Arabia poured cold water on U.S. and Israeli hopes that a summit could help lay the groundwork for a regional security alliance that would include Israel which would counter Iranian threats.

His meeting with Saudi Crown Prince Mohammed bin Salman, also known as MbS, proved highly sensitive when the president raised human rights and he sought to integrate Israel as part of a new axis largely driven by shared concerns over Iran.

"We believe there's great value in including as many of the capabilities in this region as possible and certainly Israel has significant air and missile defence capabilities, as they need to. But we're having these discussions bilaterally with these nations," a senior administration official told reporters.

A plan to connect air defence systems could be a hard sell for Arab states that have no ties with Israel and balk at being part of an alliance seen as against Iran, which has a strong regional network of proxies including Iraq, Lebanon and Yemen.

Saudi Arabia's foreign minister, Prince Faisal bin Farhan Al Saud, said he was not aware of any discussions on a Gulf-Israeli defence alliance and that the kingdom was not involved in such talks.

He told reporters after the U.S.-Arab summit that Riyadh's decision to open its airspace to all air carriers had nothing to do with establishing diplomatic ties with Israel and was not a precursor to further steps.

Biden has focused on the summit with six Gulf states and Egypt, Jordan and Iraq, while downplaying the meeting with MbS which drew criticism in the United States over human rights concerns.

Biden had said he would make regional power Saudi Arabia a "pariah" on the global stage over the 2018 murder of journalist Jamal Khashoggi by Saudi agents, but ultimately decided U.S. interests dictated a recalibration, not a rupture, in relations with the world's top oil exporter.