By Steve Holland JERUSALEM (Reuters) -Israel embraced U.S. President Joe Biden as an old friend on Wednesday at the start of a high-stakes visit dominated by efforts to bring Israel closer to Saudi Arabia and persuade Washington’s Gulf allies to pump more oil. Landing at Ben Gurion Airport, whose runway he first trod in 1973 as a senator, Biden bumped fists with Israeli Prime Minister Yair Lapid and, in a speech, described the connection between the two nations as “bone-deep”. “You do not need to be a Jew to be a Zionist,” Biden added, voicing support for the ideology behind Israel’s foundatio…