The Dems are the walking dead; they’re an ex-party, they just haven’t realised it yet. Gone extinct for the same reason as the Whigs.
The GOP are also in an irretrievable position; they’re committed fascists now, so as soon as they lose power, they’re dead.
So, assuming that we avoid the worst-case scenario of permanent fascist America: there are at least two new parties on the way. And the triggering event is the New American Revolution.