I believe he intends to become King Donald The First, and pass his crown to his halfwit son when he croaks.
Trump World is like King Lear (a play that I'm suuuure Donald reads and rereads and has a profound knowledge of.) The kids all surround the old king and there's a contest to see who can kiss the most ass. In this schema, Don Jr. is Regan (both because he wants to be a Repub hero like Reagan, and because both Dons would misspell Reagan.) Eric is Goneril (because he is less persuasive than Regan and because he looks like his fetal development was scarred by gonorrhea.) Tina Trump would have to be Cordelia, because Pop has no use for her.
Not to drag this thing out: the king is accompanied by a Fool throughout; that would be Rudy, who even has the makeup streaming down his head to fit the part. At the end of the play, the King is wandering through a hellscape with rain falling, ranting -- which would be Trump on a good day. He finds out that the ass-kissing children are swine, who pretty much kill each other off. He finds out that Cordelia (Tina) is the true Trump, and then, apparently in a reaction from too much onion on his Whopper, dies on top of her dead body. In the play, Edgar and Kent say the last words over the King: 'The wonder is, he hath endured so long.' In Trump World, the King emits one last, loud, tapering-off basso fart, as...
The curtain falls.