It's not meant to be a documentary on all things science. Not an encyclopedic entry to the history of mankind's advancements in science and knowledge gathering.
I wouldn't be surprised to find out a good portion of it is either too generalized or as you said altered somewhat to fit the narrative. The idea is to get people interested in science and the study of our universe.
Religious/spiritual references are definitely strong and they use many of the same points I try to use when discussing science with the religious. The study of the universe and the advancement of mankind is an extremely spiritual subject (imo). It's not meant to replace religion, but show that even if you are religious, you can still science bro. Study of the universe is study of God. I think they do a very good job in both showing people to think beyond their dogma and realize that science doesn't undermine God/religion. Plus, it lets us dirty atheists show that the spirituality of our religious brothers is not lost on us. We can connect to the universe in a profound way without grand delusions.
Tyson, like Sagan, has made it his goal to bring the scientific thought process to the general public. The best way to do that is to make it theater, since that is the only thing the masses are interested in. Anyone that they manage to snag up? They will study deeper and know more of the detail behind the ideas being shared. The masses, I think, will be much more moved by something like this than something like your typical documentaries with dry voices and monotone narration.
My take on it anyway. Something like that.
Sportsmanship killed CF