Gideon Sa'ar had solicited the help of the four men separately from their work with the anti-Trump group, whose co-founder John Weaver is accused of sexual harassment.
Reports have claimed that Trump is preparing a list of enemies to take down once he is acquitted by the Senate.
"You consistently make fun of half the country and then complain that it is divided," the president's daughter tweeted.
Rick Wilson had previously described Trump as the worst president ever, and in a Daily Beast op-ed, he pulled even fewer punches after Trump's Oval Office press conference.
Trump announced Bolton's departure on Twitter on Tuesday, saying he had disagreed with "many" of his adviser's suggestions.
Republican CNN guest Rick Wilson misquoted a line from HBO's "The Wire," in which he warned Nancy Pelosi to go all-in on impeachment if she chooses to, because "if you're going to go after the king, you best get him."