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i dont think it's that big of a deal, i think it goes back to the fact that america was somewhat founded on christian principles.
also it's kinda like the whole "in god we trust" on the dollar bill, it's not saying which god or how many gods so the only poeple it could really effend are aethists, and they should stop being so stigmatic sense dont they only believe in the forces of science, and scientficly thinking it has very very minimul effects on people on the the whole.
There's a diffrence between practicing your religion and throwing it in peoples faces. People who don't believe in God usually don't for one of two reasons. They don't want to be controlled (they believe religion is just a form of social control, and that as a society we're past it and it's only hurting us now). Or they're strongly against partiotism, something that can be used by a leader to do most anything he or she wants.
The belief that God is on your side has been around for a very long time. In WW1 and WW2 do you think either side thought they were fighting against God? Hell no, it was manifest destiny all the way (the belief that it is God's will you should win, conqure land etc etc. American Dictionarys may tell you diffrent now, but that's the way I've been taught). Even today we still see manifest destiny, and it's pathetic. At least the Greeks had away of explaining this. Gods are evil and they take multiple sides just to toy with the lives of humans, with few exceptions.
To the topics question, if it wern't out of date I would say it doesn't make a diffrence, someone who wants to lie is going to lie, with or without the God. More cocky people may even believe that it is God's will he or she should lie, because they are destined for something greater, blah blah blah.
If you're curious as to my opinions on religion it's quite simple. Believe what you want as long as it doesn't affect anyone else in a negetive way (being of their opinion not yours). For example, something negetive would be mentioning someone will be going to hell or join my religion or burn in hell etc etc. Believe it or not I get that a lot, and I'm damn near tired of it.