Nothing about the idea of Trump getting a 3rd term makes any sense.
1) Huckabee's tweet speaks of Trump being "eligible" for a 3rd term due to the coup attempt. The use of the word "eligible" implies eligible under the current Constitution. If a third POTUS term depended on an amendment, the language would be different, perhaps saying he's entitled to a 3rd term or should have one – but "eligible" is very specific language with a legal meaning. The 22nd Amendment is clear, that a President can only be elected twice (unless they're Truman, who had an exception granted to the incumbent president when the 22nd Amendment was proposed and ratified). Someone elected twice (2016, 2020) is simply not eligible in 2024 under the current constitution.
2) Trump is the farthest thing from a dictator. He's trying to make the democratic system functional, and that includes the orderly passing of power. (Consider how Washington' relinquishing the presidency is often cited as one of the signs of his greatness as a leader.) The movement is not about Trump alone being the only qualified leader for America, it's about returning power to the people with a functioning democracy that can endure into the distant future, perhaps forever. I'm sure Trump wants to see America remain great without his being POTUS, after he leaves office.
3) There are surely patriots who would be competent and trusted to take over in 2024. (Flynn? And I'm sure other names will surface.)
Think Mirror? Maybe it will come out that, between the 2016 election and inauguration, Obama seriously considered staying in office? If so, getting the public stirred up about the outrage of a president refusing to leave office could be a boomerang.
Or is there any chance the 22nd Amendment was not properly ratified, and is not actually in effect as part of the Constitution? (Crazy, but trying to figure out any angle where this makes sense.)
There does seem to be a consistent POTUS strategy of kicking this particular anthill. (The 3rd Term anthill) Must mean something.
https://twitter.com/govmikehuckabee
https://www.archives.gov/founding-docs/amendments-11-27