Well, I'm glad to see that no one here has really attempted to argue that Kavanaugh should be confirmed to the Court. I assume this reflects what is happening in the discourse on this issue among the general public.
According to reports, apparently the Republican majority on the Senate Judiciary Committee and the President have prevented the FBI from collecting information necessary to assess Kavanaugh's credibility in his testimony at the September 27th hearing. This fact only indicates their knowledge of Kavanaugh's lack of credibility in his testimony. Therefore he should not be confirmed to the Supreme Court.
Interestingly more than 1700 law professors have signed a letter to the Senate attesting that at the September 27th hearing Kavanaugh displayed a lack of judicial temperament that would be disqualifying for any court, but especially for elevation to the Supreme Court:
. . . Judge Kavanaugh exhibited a lack of commitment to judicious inquiry. Instead of being open to the necessary search for accuracy, Judge Kavanaugh was repeatedly aggressive with questioners. Even in his prepared remarks, Judge Kavanaugh described the hearing as partisan, referring to it as “a calculated and orchestrated political hit,” rather than acknowledging the need for the Senate, faced with new information, to try to understand what had transpired. Instead of trying to sort out with reason and care the allegations that were raised, Judge Kavanaugh responded in an intemperate, inflammatory and partial manner, as he interrupted and, at times, was discourteous to senators.
Opinion | The Senate Should Not Confirm Kavanaugh. Signed, 1,700+ Law Professors (and Counting).
The letter goes on to note the federal statutes governing judicial bias and the requirement of recusal when there is a risk of such lack of impartiality.
Of course, if Kavanaugh is confirmed and the Senate and House flip in the upcoming midterms, there looms the possibility of his impeachment. Federal judges are routinely impeached after conviction of a crime, and lying to either Congress or the FBI is a crime.