For the next few weeks, many Democratic strategists want to change the subject from the Supreme Court, hoping that Republican voters’ passions aroused by the Kavanaugh fight will fade ahead of the midterm elections. Noting that the election is approaching, Senator Chris Coons, Democrat of Delaware, said on NBC’s “Meet the Press” on Sunday that talk of impeaching Justice Kavanaugh was “premature.”

“Talking about it at this point isn’t necessarily healing us and moving us forward,” he said.

But Senator Lindsey Graham, Republican of South Carolina, said on “Fox News Sunday” that he intended to help House Republicans in swing districts campaign on the issue over the next month, saying their Democratic opponents should be asked whether they supported impeaching Justice Kavanaugh and “Do you want an outcome so badly that you would basically turn the law upside down?”

Still, many liberals are quietly looking forward to reviving the fight if they win a House majority and subpoena power, rather than resigning themselves to waiting for a conservative justice to leave the court. The oldest of the five, Justice Clarence Thomas, is just 70.

Many are vowing, for example, to try to uncover more files from Justice Kavanaugh’s time as an official in George W. Bush’s White House in hopes of finding more evidence to support their accusations that he lied under oath about his actions.

“We’re going to get those documents that are shielded from view, and they will provide further proof that he lied,” Mr. Fallon said. “And these sexual assault allegations have created a wave of outrage and challenge to the court’s legitimacy that may even eclipse the impact of the lying.”

Because of the Presidential Records Act, any Bush administration files that Republicans refused to seek during the confirmation hearings may remain hard for Congress to subpoena until 2021. But the right eventual finding could provide a basis to try to impeach and remove Justice Kavanaugh from the court.