If humans are any kind of indicator, none of the above would work. How many times has the US begged, pleaded and threatened North Korea?
Just nuke'm. The Federation wouldn't be limited in any of the ways the US is - in our analogy, nobody would get angry about offing the entire Korean peninsula, or at least meaningfully angrier, there wouldn't be any physical fallout to worry about, and messages wouldn't travel much between Korea and, say, Myanmar anyway so the secret of atomic weapons wouldn't leak out.
Similarly, the option of brainwashing the Korean leadership or slaughtering enough of them would exist without repercussions - no Russia or Switzerland would ever even have heard about this "Korea" place anyway. Although the Feds would probably kill/mindwipe just the researchers, and then do their successors and their successors until there was no Omega program left.
Actually, wouldn't the guys in Angel One be the outliers? After all, those guys in TNG who wore the gray jumpsuits aren't Starfleet but rather belong to some civilian agency, and they're required to follow the Prime Directive, as per Who Watches the Watchers.
Good point. A few buts, though...
Everybody wears jumpsuits - in TOS, the blue-green ones filled many roles, from government-sponsored research to penal management to counterculture colonization.
But in any case, it's a "Federation" team. And it's not the team that is in trouble with the PD, but Beverly Crusher.
Likewise, Nikolai Rozhenko was required to follow the Prime Directive to the point that his action to save the villagers he lived with was enough to "finish his career" according to Picard.
The actions that involved the Prime Directive in that episode were ones Worf's brother expected
Picard and his crew to take. His own actions were their own thing: Worf chastised him for failing to have followed Picard's orders, which resulted in a PD violation, but this is a chain of events that started with Nikolai ignoring Jean-Luc and culminated in Jean-Luc unwittingly violating the PD.
Timo Saloniemi