Well, if the Republican nominee in a general election is not a strong conservative, the problem is that strong conservatives have not won primary elections to be the GOP nominee in the general election.
Interesting that you describe Lindsey Graham, Nikki Haley, and John McCain as
not a strong conservative
They remind me of Murkowski from Alaska. She voted against Republican nominee for the Supreme Court, Kavanaugh, and for Democrat nominee Jackson. Tim Scott endorsed her. McConnell supported her in the general election against the Republican candidate. Maybe at some point a Republican judge will lack one vote to be confirmed and Murkowski will vote against him. Would people still then say that McConnell is good for judges?