I have that answer quite unsettling.
I think this may be a fundamental difference between theists and atheists. The discomfort of not having certainty about everything is too unsettling so the possibility is rejected regardless of merit.
No amount of copy and paste about our DNA or common ancestor and whatever which change the fact in a relatively short period of time or milli-second in evolutionary terms can explain who one species went from cave paintings to putting a man on the moon.
The vast majority of the difference between those who made cave paintings and those that put men on the moon come down to incremental technological advances which in turn paved the way for societal and organizational advances, which further supported more technological advances. In short, we've had all the genetic machinery for the capability to put men on the moon for a very long time, it's just taken us a long time of writing down every generation's advancements so that the next had a little more of a head start. In short, the primary difference between the humans that were living in small tribes in caves and us today is that when we got here there were already schools and books explaining generations worth of knowledge to us.