Some of the demonstrators protesting against Israel were arrested at the scene.
The House bill would provide $14.3 billion for Israel as it responds to a deadly Oct. 7 attack by Hamas, but also cut the same amount of money from the IRS.
The Department of Homeland Security employee had shared images praising Hamas paragliders.
Democrats said the Republican bill would be dead on arrival in the Senate, even if it passed the House.
Each speaker expressed unstinting support for Israel’s war aim, to destroy Hamas. President Joe Biden, who is flying to Israel on Wednesday, has also said that Hamas must be eliminated.
Commanders for Israel's Security endorsed a call by 20 US Senators for any deal between Israel and the Saudis to be conditioned on the Palestinians.
In Israel, the US has an ally on the front lines of the fight against terrorism, nuclear proliferation, and an emboldened Iran.
Among the suggestions is that the deal include provisions to preserve a two-state solution.
Feinstein was a Washington trail-blazer who among other accomplishments became the first woman to head the influential Senate Intelligence Committee.
Menendez, one of two senators representing New Jersey, stepped down from his role as chairman of the Senate Foreign Relations Committee, as required under his party's rules.