Well, if Trump is the one talking then he could introduce himself as "Your President", yes, although that would sound a touch weird if he talked in the third person like that, but it's the kind of thing that I could see him doing. "Your President wishes you all a tremendous Xmas." Sounds a bit like royalty.
"Your Majesty/Highness/Excellency/Grace/Eminence/Honour", etc are different because they're abstract nouns referring to the person; the king is not "a majesty" and a judge is not "an honour". You wouldn't say "Greetings, Your King". That makes no sense. You'd say "My King" or "My Lord".
In that image it's Trump asking for ways to address him directly, so you would have to call him "My President", since he can't be his own president (although technically he is president over all citizens and he is still a citizen, but he's not solely the president of himself).
Unless you mean talking to other people *about* Trump, then fair enough. Since it would also be a bit unprofessional to address him as "Hey, guy", "Hey, dude", "Hey, cute" or "Hey, boy" lol. In any case, "Mr President" is already a thing and works fine.
Either way, it's not worth writing a thesis on this. Trump can use whatever pronouns he likes. Doesn't bother me. I'm not as obsessed about people's pronouns as some around here seem to be. He can identify as His Holiness, The Flying Spaghetti Monster or Gandhi for all I care.
Also tacos are fun. A bit childish, yes. But if that's offensive to Trump he needs to get a slightly thicker skin, no offence. It's arguably no less puerile than mocking Biden for having prostate cancer.
PS Firstly, 9 billion humans aren't divided into only 2 categories like on imgflip. Secondly, I'm not a "Lib" lol and don't think I've ever once used that term to describe myself. (Just "liberal" with lowercase L but that's different and it entirely depends on the context of what I might be "liberal" about.), Libs aren't even a thing where we're from. Libs/Dems are specific to your country's political context so bear that in mind. I probably hold some views that would be described as "Lib" and others that would be described by others as "Conservative".