OK, all seven listed, and so far, standings show:
Spock: 2
Picard: 2
Kirk: 0
Sisko: 0
Janeway: 0
Archer: 0
Riker:0
On why Sulu wasn't listed over Riker- Riker was technically promoted in the middle of TNG to captain during the Locutus incident, so he had a longer shown run than Sulu (plus this way its 2 for TOS and 2 for TNG, not lopsided, those two are the best and most culturally important Treks, so they should each be equal.)
My scenario:
Archer is too naive and Janeway far too mechanical and not quick enough or likeable enough to make alliances- they're the first to go.
Picard, Kirk, Spock, and Riker are involved in a very interesting relationship- the first captains obviously trust their former 1st officers, but Kirk and Riker have more in common and similar styles, as do Picard and Spock.
Sisko, meanwhile, is a raging bull darkhorse- no one knows what to do with him, as he is able to manipulate and stab his way into becoming the first big power, as Picard ans Spock rise, Kirk levels out, and Riker is gradually squeezed out and is the third to go.
Kirk, Spock, and Picard are allied, but Kirk is also no fool- he knows in that alliance, he's coming out third should Sisko go. So he and Sisko make a backroom deal, and Kirk sets up to stab Spock and catch him unawares.
But like I already said, due to his logic and discipline, plus the fact he's got another great logical mind and diplomat, Picard, with him, Spock sees the stab a mile a way, and Picard and Spock turn their weight, and Sisko takes a couple bites out of Kirk now that he figures Kirk can't survive- and Kirk goes out fourth, in the middle slot.
Sisko, while taking out Kirk, launches an attack on Picard- his real plan, and he used the Kirk ruse as bait to lure Spock away. Picard's caught a bit off guard and suffers a couple losses, but he recovers, and, again, Spock's anticipated such a move, and flanks Sisko, and between Picard and Spock, Sisko goes down fifth after a bitter and bold last stand.
Picard and Spock are left near to 18 as Sisko is going under; each counterplay the other perfectly, and they both wind up at 17. Spock and Picard both see the only way to win is to stab, but because both know it would be coming and both know that it is unpredictable who would win, and both agree they've made too many gains to throw it all away on chance, especially since the two can read each other's moves so well.
Picard and Spock draw, and split the win, and the pot.
So that's my vote: .5 to Spock and .5 to Picard