A group of senators remained publicly undecided Thursday evening following the testimony of Kavanaugh and Christine Blasey Ford, a woman accusing him of sexual assault.
He continued: "You may defeat me in the final vote, but you'll never get me to quit".
Other people on Twitter said the force of Kavanaugh's opening statement would have been taken differently if Ford had done the same. She said she was "100 percent" positive that Kavanaugh was the person who sexually assaulted her 36 years ago and displayed her credentials as a psychology professor when describing her trauma.
Kavanaugh, 53, has strenuously denied assaulting anyone and insists he is the victim of a "smear campaign".
The vote could still be postponed if Republicans believe pressing forward might backfire.
Trump reportedly phoned Kavanaugh ahead of Thursday's hearing and urged him to push back forcefully, and many observers interpreted Kavanaugh's aggressive testimony as intended for the president.
But after consulting with lawyers, who advised against pressing charges because they said she would not be believed and her life would be ruined, no charges were filed against the abuser.
Senators emerged from Thursday's hearing bitterly split into those tribes, with Democrats persuaded by Blasey's calm and unflustered account of being shoved onto a bed, pawed, almost stripped and prevented from screaming for help, while Republicans were moved by Kavanaugh, who bristled with red-faced outrage and grievance at what he called an orchestrated campaign to destroy his life. She said some fear their cases will never be prosecuted. He belittled the idea of an FBI investigation into Christine Ford's allegations, yet in 1991, he believed the opposite.
Republicans are nonetheless working against a clock to confirm Kavanaugh.
"Indelible in the hippocampus is the laughter".
"We are now in a place where it's not about whether or not Judge Kavanaugh is qualified".
Kavanaugh, who frequently appeared combative with the line of inquiry from Democrats, said he "will not be intimidated into withdrawing from this process". Knowing what she was going to say and hearing her speak it, in a quiet, sometimes faltering voice, are two very different things, however.
In the end, Ms Mitchell herself seemed slightly exasperated by the format she was working under. She questioned whether Blasey was truly afraid of flying or had lied about it. Chuck Grassley, R-Iowa, the committee chairman, thanked her "for your bravery coming out".
After Mitchell asked Kavanaugh several detailed questions about Ford's allegations, the GOP senators took matters into their own hands. Sen.
Ford told the Senate on Thursday that she still does not know who leaked the letter, indicating that she did not give approval for Feinstein or Eshoo to release it. Some wondered aloud if the White House should pull him from consideration, while others began to craft a backup plan to urge the president to make a new selection - ideally, a woman.
Trump has also criticized Republican leaders in Congress for not speeding the process along, leading to days' worth of revelations against Kavanaugh.
"I can be persuaded also", Trump said.
Republicans are pushing to seat Mr Kavanaugh before the November midterms, when Senate control could fall to the Democrats and a replacement Trump nominee could have even greater difficulty.