Frankly I don’t see a realignment coming soon, because that means that one party takes away the “majority status” from the other (like in 1932). This time, there is no clear dominating party like the GOP in the 1920s or Dems in the 1940s. It’s practically deadlock with large divisions between and even within the states.
It could be argued that we are still in an era of GOP dominance that started with Reagan. Keep in mind that for those who believe in realignments, both of Ike's bigger than 2008 wins occurred in the middle of a Dem era, and according to some definitions, Nixon's 1972 sweep did as well.
I tend to think we, if anything, are in a "Gilded Age"-like era with frequent disparities between Congress/the White House and close, polarized elections rather than in the middle of a GOP or Dem alignment.