If anything, Leyton would have provoked the war sooner than even Sisko could have managed.
This would have been part of his character on so many levels:
- His very plan for grabbing power hinged on inciting panic of a Dominion attack being nigh.
- It seemed to start with the faking of a Dominion strike when none was available otherwise.
- His motivation for grabbing the power was to be able to fight the Dominion on a stronger footing.
- He wasn't one for slow maneuvers, as his power base was still missing key pillars as stated above when he put his plans to action.
Being top dog in Starfleet would seem achievable without all that anti-Dominion fuss. Alex Marcus managed that easily enough, in what Pike felt was a "complacent" Starfleet faced with a passive, indeed apparently wholly dormant enemy. On the other hand, grabbing power by the means shown would mean having to move swiftly, as exposure would be disastrous and the appeal of rule by iron fist would quickly wear off if there was no enemy to be punched by that fist.
And of course once Leyton did get going, the Founders were having a field day, with impersonations and distractions and general proving-Leyton-right antics (including a dubious "confession" that Leyton was "actually" wrong). They would not have been interested in stalling if their gullible opponent was eager to go to premature war, in a situation where his important Klingon allies were estranged and his traditional local enemies going strong under Dominion infiltrator misdirection.
Timo Saloniemi