No one actually cares what any of those organizations say. Literally no one, not republican or democrat, could care any less what they say unless they happen to align with their political ideology.
Second, the notion of "republican candidates" or "republican justices" (Stevens was not a conservative, or right leaning, he simply happened to be appointed by a republican president) as justices on the supreme court shows an absolute misunderstanding of the purpose of the institution.
There is a fundamental misunderstanding of the purpose of the court betrayed by this comment. The court is supposed to be non-partisan and not beholden to politicians. The left has cranked up the smear machine in response to every Constitutionalist judge nominated to the court since (and including) Clarence Thomas -- it only appears "republican" or "democrat" because republican presidents appoint judges more often who respect the Constitution as it was written and democrat presidents appoint judges more often who believe the Constitution should be rewritten through the misuse of the judiciary.
Kavanaugh will be a party line vote, and a lot of it will be reaction to the left wing of the senate's behavior in the judiciary committee. note that the right does not, in general, do this -- Kagen, Sotomayor, and Ginsburg were all significant majority votes in spite of their political ideology differences.
Elections have consequences (that's a quote from President Obama), and Constitutionalist judges are being nominated. The smear machinery is going to be brought against any Constitutionalist judge, no matter who it is, because of the political controversy over Roe v. Wade, which is in reality what this entire confirmation circus at this point is about.
At this point the US Senate has in essence abdicated its role in advice and consent to the President and turned confirmations into a political farce -- that's not how it's supposed to be, no matter what political ideology one may hold.