Nonsense. The United States obviously recognizes the State of Israel, which we have subsidized to the tune of tens of billions of dollars and have already saved once, by Nixon's airlift of military supplies during the Yom Kippur War.
We would gain absolutely nothing by moving the Embassy to Jerusalem, which is why no President of either party has moved it.
So why do they lie about it?
The thread article suggests that the party which did move the embassy might gain Jewish votes. The democrats have no need to move it because for some puzzling reason already have the majority of Jewish votes wrapped up and the Republican party moving it would not change that at all. So that political dog don't hunt at all.