WASHINGTON — Even before the judicial oath was administered and Judge Brett Kavanaugh became Justice Kavanaugh, some on the political left were sounding calls to impeach him. A month before midterm elections, that makes many mainstream Democrats nervous.

As both parties move on from the most bruising Supreme Court confirmation battle in a generation, Democrats hope to harness voter anger over the explosive proceedings and the narrow outcome, but not turn the midterm contest into a polarizing referendum on whether the party should try to remove Kavanaugh — an effort that would be unlikely to succeed.

Republicans and Democrats have put competing spins on how the confirmation fallout might play out at the polls. The GOP says the battle over Kavanaugh has energized its voters, who have lagged behind Democrats in previous measures of enthusiasm over the election.

Democrats say the debate over Kavanaugh has increased the anger that many women already felt toward Donald Trump and the Republicans, and will lead to a larger turnout on their side. Both could be right, at least in part. The Kavanaugh fight could produce opposite results in the contests to control the Senate and the House.

More Republican enthusiasm to vote could help GOP candidates in this year’s highly contested Senate races. Most of those are in conservative states that have Democratic senators, such as Indiana, Missouri, Montana and North Dakota.

At the same time, increased turnout among women could help Democrats trying to flip Republican-held House seats in suburban areas, including five long-standing Republican districts in Southern California that Democrats hope to win.

A new round of Senate polls in four states released Sunday by CBS and YouGov indicated that most voters who said the Kavanaugh fight had increased their motivation to vote were partisans who already were highly likely to vote for their party’s choice.

But in the closest race of the four, in Arizona, the polling indicated that the Kavanaugh issue might help the Democratic candidate, Rep. Kyrsten Sinema, who held a very slight lead, 47 percent to 44 percent, over Republican Rep. Martha McSally.

As both parties analyzed polling data, Trump and his senior aides dashed any expectation that they might strike a unifying stance after a battle that pitted Americans against one another as much as any political clash in recent memory.

Dismayed as they were by the outcome, even some Democrats shied away publicly from any talk of impeachment.

“I’m much more focused on the here and now,” said Sen. Mazie Hirono, D-Hawaii, also on ABC.