Of course The Donald would invite The Sarah up to his New York penthouse. She is, after all, taking her Clampett bus expedition to American shrines, and that's what Donald Trump considers himself.
Sarah Palin and Trump also share two interests: presidential politics and sham reality shows.

(Actually, that's just one.)

They both also have a remarkable ability to turn reporters into shills who chase after them to snap up whatever crumbs they toss.
Palin can even keep a straight face when she tells her Fox News BFF Greta Van Susteren that her bus jaunt isn't "a publicity seeking tour." All the while she's getting disproportionate publicity from the very news people she disparages.
"I don't owe anything to the mainstream media," she gloats.