The video shows a picture of Jesus and a Christian cross when it mentions that natural law is based upon God.

That could definitely be misleading. The concept he was trying to get across was that our rights are natural and “given by God.” For atheists, just say “inherent to all people”. This is an important distinction, because many governments “give” rights to people. If they can give them of course, they can take them away as well. Here in the US, our Constitution recognizes that our rights are inherent. They are not given to us by a man or a government; we have them because we are human beings.