Is removing God from government and schools a bad thing?

Removing religion from government and public schools has always been more of a time-saving solution. There are citizens of the United States who are not Christian, after all. If we allow Christianity into the equation in government or schools, then we have to allow every other religion. That being said, doesn't it make more sense to just leave the religion/God factor out of it and let people deal with that on their own in the Church of their choice? And does taking religion/God out of these entites automatically make them evil, or is possible that it just happens to be an issue where God isn't brought into the picture for the fairness of all?