Not to nit pick, but this isn't set then. Most Force Users are scooped up pretty quickly during this time period.
Sorry, was talking slightly off-topic there about a different roleplay I was running, just to show how both morality and Force powers can be used in different settings.
While I understand the appeal of wartime settings, due to the high levels of conflict and opportunities for morally challenging situations to be encountered you can have just as much of an engaging narrative when the only repercussions to your actions are on a personal level, rather than a galaxy-changing levels.
The thing with powers like precognition is not something the player alone controls... Use beyond what everyone has, is something the GMs will direct.
The problem with precog, time travel and other powers which allow characters to predict or alter the flow of events is that players can get bogged down trying to decide whether they should try and take actions to change the outcome they've seen, or whether any action they take will ensure the predicted outcome. In the end it can easily end up with the entire party standing in a corridor debating whether to press a button or not because someone had a precog flash of the ship blowing at at some point in the future and this might be that point and no-one ends up doing anything at all.
And don't get me started on the whole Predestination Paradox problem. XD
My biggest concern though is that precog flashes can end up as a bit of cheap deus ex machina to help push the story in the right direction when people can't think of a way out of a situation for themselves.