Different views:
Option 1:Basic Backstory Player Controlled = Player Controlled, can flow anyway... but may lead up to some unwanted actions by all, and the original story can be flawed... Some players may end up getting confused upon the events
Option 2:Strong Story GM Controlled = Has a heavy storybase, and characters that are to live will always survive until their time has finally come. This may lead to less confusion to players, but their actions are much more limited.
Option 1:Limited back-story allows for large amounts of creativity to go, which may conflict with the story. The story may not be completely consistent but it will most likely be pointed out by the players that the inconsistencies exist. Complete player-influence on the story allows for the thread to go in any direction.
Option 2: Very detailed story without, most likely, plot holes of any kind. Limited choice which may or may not affect overall the amount of influence a player has. Overall a more detailed, story-quality experience.
Both types of thread will likely form, but this poll just decides which type goes up first.