Ideal conditions for Star Trek cultists with nuclear weapons to force the rest of the world to roleplay with them [closed]

Question

A handful of extremely intelligent and resourceful Star Trek fanatics have, over the course of 2-3 generations assembled an arsenal of nuclear weapons in secret. Upon completion, they plan to broadcast their secret location, weapons capabilities and unveil vast quantities of mineral wealth from asteroids (and rare-earth minerals) to entice the rest of the world to trade with them. This way the cultists may live longer and prosper. But before they begin, one cultist asserted the group, which now number several thousand, show pause until they are as sure as possible they can cultivate the proper conditions for the rest of the world to address them by their Star Trek names and humor their beliefs in Star Trek lore.

Ideally, this would also included being respected as a sovereign nation, but is not a 'must.' There is already precedent for such situations where a group/delegation is treated with considerable 'respect' even though it is not the officially recognized government. How multinational corporations in failed states tends to deal with operational issues often involves negotiations with de-facto groups in control and rarely apply Westphallian protocols of non-failed states. One such case being Somalia. (Side note: If we're being super-picky, this may fly in the face of international law but it is not uncommon in industry practice).

The point is, for the Star Trek cultists thinking and problem-solving at warp speed, that one does not have to undergo a rigorous tick-the-box exercise just to satisfy some arbitrary UN requirements. They hold a veritable sword of Damocles in the form of their nuclear weapons over anyone trying to stop them. Happy or not, we will assume the world order will recognize them -- but the goal is to make the world enjoy the process and role-play with them.

Question

Would nuclear weapons (stick) and immense mineral wealth (carrot) serve as ideal conditions making the rest of the world role play with them?

Further clarifications:

• By role play I just mean addressing the "president" as "Captain Kirk" and maybe learning some Vulcan language. They would still be conducting real-world commerce.
• Prior to the broadcast, their secrecy is absolute
• Geographic location of their newly carved out territory is not in the scope of the question, but let's just say it's a massive space station in near-earth orbit so we don't upset any existing boundaries. Assume it was cloaked during resource-accumulation stage. Otherwise setting up Star Trek HQ in Antarctica would be very different than, say, Jerusalem.
• Just looking for a reality-check at the moment, but if something jumps out at you in terms of how the Star Trek cultists can improve their appeal to the world order, feel free to share

Answer 1

If we keep our world capitalist as is, their demande to only be "talk to us in a weird way that stroke our ego and maybe wear funny costum/filter " the nuclear part might be an issue. i mean, they can let know that they are nuclear capable, but they should certainly not, especially when they can just withold the commerce of spacemineral only them have acess too. if you don't negociate in their own term watch those who do get richer. broadly speaking, the carrot will make you friend, the stick might create tension.

same shtick the other end if they want to reach stathood with broad recognition (and ask for a different tittle), but people might actually cooperate with them even more on their weird ask. you won't tell to a head of state that his tradition are weird, you hire somebody that will tell you what to say and do to stay in good standing with them