You can read why maintaining God's name in the public square is so important here
https://www.houseofpolitics.com/forum/showpost.php?p=2122&postcount=15
Basically, it's important because our government was uniquely established such that the individual, not the government is the sovereign who is "endowed by the CREATOR" (
not the government) with "certain inalienable rights". And in remaining aligned with Lockean philosophy, the individual citizen
loans the power to the government.
When we drive this relationship between the individual citizen and the Creator out of the public square -- we are in essence transferring that power to the government, which is dangerous. As seen in the USSR, Italy, Germany, and many other European countries, when the government holds the power (instead of the citizen like in the U.S.) it can detain you, torture you, kill you, because it owns that power, not the citizen (or Creator).
This movement to drive God out of the public square is further alarming when coinciding with an effort to expand the size and power of the federal government.