All large political parties have multiple factions. The only anti-Semitic faction of the Democrats is the “Progressive” (a.k.a. “woke) faction, which for the most part is supporting Hamas’s demand for genocide of Jews. The question is whether this faction is in control of the Democratic party, or whether they are “nut cases” who will be ditched.
The Republican party has factions whose views are offensive to many people including us, though for the most part they have kicked them out (e.g. when a KKK “wizard” managed to emerge from the primaries as the Republican candidate for Senate in Louisiana, and party leaders urged their voters not to vote for him).
In all fairness for Biden and his ilk, the “great game” they are playing involves keeping Iran’s “team” for defeating Israel, but without hurting Iran in a meaningful way as that would alienate Muslims in many countries, whose support the United States needs for the upcoming World War III with China and Russia (both of whom are allied with Iran) – and domestically, to win, Biden needs both the “Progressive” anti-Semitic wing, as well as the establishment wing that is heavily dependent of the secular Jewish voters.