I think that the Force gives the would be believer some metaphysical reality that they might hold out some hope for as being a real reality. This is a meme that is a wellspring of possibility for a human mind open for it to take hold and grow. There isn't an equivalent meme from Star Trek of a metaphysical kind.
I agree, except for Star Trek's telepathy bit.
Now if we take the idea of our very own existence as a metaphysical proposition, the existence of our soul or spirit, then the Force strengthens that imaginal fantasy with an objective metaphysical reality perhaps.
In parallel to that, Star Trek would quote Jean-Luc saying to eg the Borg, We humans will not be dominated! and by sheer industrial-grade determination and the usual ingenuity, overcoming.
That parallel between God and Man, perhaps?
In the Western tradition we have Excalibur, a sword that stood for balance and truth. This is, perhaps, the sword of Jesus United with a Celtic goddess.
Excalibur is also a hero's weapon, so you could argue it stands for dealing with your enemies by violence and threats of violence (Star Wars), rather than persuading, negotiating, finding common ground (Star Trek, at least much of the time).
In the east there is the idea of the sword as an expression of the spiritual character of its wielder. The gun is about fear and anger but it has some of the same associations.
Ah, yes, as in Kurosawa's
Seven Samurai, where the good guys with their code of samurai honor use their fine swordsmanship like Jedi Knights and it's the villains who have a gun. Old cowboy songs about a 'code of the west' are using the same tune. (Except that Kurosawa is really about politics, honest labor versus aggressive bandits, so if it's on any side, I'd say Star Trek.)
Perhaps the sword allows for more of a purely defensive response to aggression.
Classically, it's more personal, eye to eye, removing the gunshot distance between the antagonists, and on screen, allowing them to have a conversation in the pauses and clinches. I think both Star Wars and Star Trek use that one ─ remember Kirk's judo?
Witness the deflection of blaster shots...this heightens the sense of the confidence and mastery of the sword-saber wielder over the safety of the long range weapon user.
AND done with your blindfold on. Do you remember the Mythbusters episode about catching the arrow fired at you, Ninja-style? That was close to remarkable at times, but nothing like the speed of light. The Star Wars equivalent necessarily implies knowing the future with tremendous exactness. (Perhaps we should balance that against Troy's telepathy and call it a draw.)