I have that same prob. try turnin the key to the on pos. youll hear the fuel pump kick on then you wont hear it, finish by giving the beast life. I learned this trick from my brother, he HAS to do that w/ his Lightning or the fuel rails go dry for a sec.
But I live in the arctic reaches of centeral MN, it supposed to hit -20 F

that is oober [censored] cold!! Hey hope this helps. see ya