In 1964, many voters, but probably more in the Northeast, voted for Johnson while continuing to elect Republicans to lower offices. From 1968 through 1988 (but especially in 1972 and 1984), voters especially in the South (and in Macomb County) voted Republican for President and Democratic for lower offices.
I believe this largely ended in 1992, though Perot's presence in the race obscured this fact.
Today, voters who regularly split their votes are somewhat rare.
Will split-ticket voting be a thing again? I say No.
I'm inclined to say No. As you know, 2016 was the first time ever in American history that every state voted exactly the same way in both its presidential and senatorial races. Split-ticket voting does still occur, and it will be critical for a number of Democratic Senators and/or Senatorial candidates this year (i.e. McCaskill, Tester, Donnelly, Heitkamp, Manchin, Nelson, Sinema, Bredesen), but it is no longer as widespread as it used to be. Which is a shame, and goes to show how polarized we have become.