Farage isn't quite the same and of course the situation is rather different.

The three jobs are divided up differently, though still between too few people. You have a Figurehead, the Head of State, which here is King Charles and in the US is Donald Trump. That's the part Trump most likes, you get free gold stuff, you're allowed to do whatever you please, everybody is supposed to suck up to you, hooray. Farage would not get that job.

Next you've got Executive leader. Trump doesn't enjoy this as much. People keep trying to blame him for the fact he's bad at it. He appointed people he saw on TV to run things, how is it his fault they're not brilliant? This would be half of Farage's job as Prime Minister and he likes being asked to account for his incompetence even less than Trump.

Finally Head of the Legislature, in the US this isn't Trump's job, Mike Johnson is in the House and John Thune in the Senate. Farage would get this job in full as the Prime Minister. Even before he resigned he was rarely actually in Westminster, it's boring and you need to be good at actual politics, so of course he's not there, he gets paid more to be somewhere else.

I also don't think Nigel can put together the numbers. Trump has Mike and John to try to make the numbers work, and Farage wouldn't have that. "My way or the highway" is what Farage would say, and that doesn't make the numbers work. That's how you lose a Confidence motion and you're back on your arse in six weeks.

[Edited to correct the Senate leader, mistake pointed out by ragnese below]

Good explanation. Just one correction: John Thune is the Senate majority leader (so, the "head" of the Senate). Steve Scalise is in the House and he's the head of the Republican party in the House, whereas Mike Johnson (who is also a Republican) is the House majority leader (so the head of the whole House, not just his party).

So, it's Mike Johnson for the House and John Thune for the Senate.