Interesting, you completely ignored this part
It would be an excellent check upon a spirit of favoritism in the President, and would tend greatly to prevent the appointment of unfit characters from State prejudice, from family connection, from personal attachment, or from a view to popularity.
We are just trying to inform our Senators that we think this applies to this nominee .......spirit of favoritism in the President, from family connection, from personal attachment
Actually, I do not recommend ignoring any part of Federalist 76. As a matter of fact, my posts have encouraged taking it as a whole, not parsing out portions to suit our various viewpoints, as some have done.
As a whole, it is a wise and thorough explanation of the Framers' intentions for the authority, process, and procedure for nominations of justices, and their well-thought-out reasons for that constitutional authority and process.
Your point is well taken that nothing in Federalist 76 indicates that it is not entirely appropriate for individual citizens to contact their Senators and urge them to either approve or to disapprove of a President's nominee. Federalist 76 does not, however, prescribe any method for partisan citizen pressure to force a Presidential withdrawal of his/her nominee in the middle of the prescribed process prior to Senate action. It is that kind of pressure and talk on the part of people who claim to be constitutional "conservatives" that is troubling and seems to be at odds with true conservatism.