how long does day 1 usually last?

I will break this down barney style as i have not been a part of your argument yet.

with 14 players, it is safe to assume that we have:
4 mafia
8 townie
a serial killer
and either a cop, vigilante, or medic
or a rough guess, take one out through in a medic with a revive ability or somthing.
with that said, at day one, the bad guys have a 5/14 chance to win. Bad guys need to kill 9 players and good guys need to kill 5.

I have a hard time understanding why a vote lynch would be appropriate on day one, considering the above odds for each side.. it would help the mafia to lynch on day one because they would most likley kill someone over night. 1 lost vs 2 lost, i like the odds of having 1 lost.

Please consider the fact that this is not a normal game. each person may have a unique ability that would give more hints and clues after night then in a normal game.

Bottom line, someone will end up dead and it will leave clues for all of us.