You vastly underestimate the distances and the timescale. And as far as we can tell, you overestimate the chances of life emerging. Right now it looks like our situation is extremely freaky, and we were very lucky to get it. And the chances that there is another civilization of this type nearby (and a million light years is nothing compared to the size of observable universe, so even on non-relativistic speeds million or two years is a very small timeframe and milion or two light years is a very small distance) is extremely slow. So yes, we were very lucky, we won the lottery, go us.