Also, in Mission 2 it says: "Start the first Player Phase by rolling for First Player and conducting a timed double draft!"
So yeah, do it right from the beginning, which is brutal. But your group can always decide to do the double draft untimed, or do the entire game untimed if you're still learning the game.
The designers have noted that the timer was mainly implemented to keep the pace of the game moving, and to prevent an alpha player from analyzing the situation and telling everyone what to do. If these issues aren't a problem for your group, then you might find that untimed drafts suit your group better. It's your game, so play it however your group enjoys it best.