ok I did get off topic.

The separation between the two is very important. The writers of those document slived in a different time, when religion said to be true, and god had no reason to be disputed. Of course they used god, that is what they knew. Could you imagine a US society that lived under religious law? Look at the society's that live under religious law and look at where they are now. The religious people want evolution taken out of school books because they say it false yet they want the bible to be taught, which has less proof to exist than evolution. We simply cannot live under religious law, church and state must be separated and neither one can affect eachother. Look at the society's that combine both and look at how well they are doing.