Answer's context
I've had a lil' chat with Vogon Poet in the Factory Floor; I'll sum up my viewpoint here :
My initial understanding of the question (revision 9)
- The question could be boiled down to : The survivors of the old world created a new government, which one is it?
- The world is post-apocalyptic, so to my standards few people survived at first. It's important later on for my reasoning.
- No real specific context was given to the people's history, relative to where they are on Earth. In other words, the cultures we have today have vanished.
- However, we know that those people knew about the old world through some sort of historic documents, but only about 4 countries at specific times.
Why did I close as "being story-based"?
It was a tough one to choose. I first thought to close for lacking clarity and details. Indeed, we're basically lacking any context that is personal to the people that forms your government : The notion of equity, or heritage doesn't really tell what government it could reasonably be. On top of that, the question tends to get lost in defining what it is and what it isn't about. I can sort through this, but it's harder to track of.
So why did I choose to close as being story-based instead?
In a standard post-apocalyptic world, I consider there's few people left, and that the government choice is left to those few indivduals, so there's a lot of character choice "noise" in there. The children will most likely carry that choice and don't change it until much later. It's not enough alone, but it doesn't help, either.
But most importantly, since no context was given to the people themselves, at least none that can reduce the available choices of the government, it's up to them to choose. It's a bit like if you were given an empty page, you can do whatever you want with this. Some people will draw on it, some will write their grocery list, and so on. The same freedom happens to you and your people : With nothing before you can freely choose what you want!
It ended up in a 51 to 49 in favor of being story-based. A very close match, but it ended up with story-based because I found that, as it was currently written1, it's more about making choices as an author than being unable to clarify what it is about.
What revealed the discussion ?
First, it's not about 1 government, it's about 4 of them uniting into one, 4 countries with 4 different cultural origins instead of none. It's a very different situation from the initial question which implies there might be other major differences.
Then your trouble is a bit different from the question as stated; There is a worry that it'll feel "weird" (a recurring word), or put more contextually if pirates attack the country, calling the "President" would feel "weird". I believe this weirdness is more likely to come from how you write your story rather than the world, but with a second thought, it could be that what your government is is still too blurry in your mind so that any official title feels wrong.
In any case, if some of the discussion's content was written in your question, I would have certainly closed for lacking details instead.
What should be done to improve the question?
First and foremost, make 6 turns on yourself, sit on the sofa and have a drink to think throughly what you want to ask and what people needs to answer your question. Indeed, there is a clear difference between 4 countries uniting into one and one being made by a bunch of ragtag people, as much as there's a difference between asking for title names and title positions and hiearchy.
Then as Otkin joined in the discussion, I'd take her advice and choose a government you wish to test, and make us confront it with your characters' culture and society. It'll help you focus your mind (and the question), comfort in what will work and what won't, and it'll help in moving away the question from the final choice you'll have to make. reality-checks questions are just that good when it's becoming difficult to ask.
Final note
You're putting toooo much value in tags. If you can find a tag that describes what you want to ask, indeed it is an hint you can ask this kind of question, but in the end it's mostly the question's content that is reviewed against what is considered acceptable and not acceptable. For instance, the weapons tag tells that you can ask about weapons, but see, some questions which asks what ammunition is better can be considered as being off-topic, too!
1 : I emphasize this. If the question was reworded, it could fall into another category.