Actually, you are the only one making the attempt at twisting it to mean something it doesn't.
"God" pure and simple means ONE supreme being. The Father, Son and Holy Spirit are interpreted as being what makes up God. So in this case, you can't say "God" and expect it to mean his Son.
In other religions with multiple Gods, you can not twist this to make it fit... well YOU can, and anyone who is on the side of keeping the word God everywhere, however the real believers will have a bit of a problem since they don't pray to only the "supreme" God, but to all of them.
So again, you are the only one twisting it around to make it appear as though it can be used as a reference to not just monotheistic religions... I'm merely showing you can't twist it.
You, and other monotheistic religious people, lose nothing, you are still free to say it as you wish. People who are polytheistic or atheist have to deal with some sort of state supported religion. They are free not to say it if they choose... but they are not free from it, which they should be and is entitled to them in their basic rights.
EDIT: Eagler, so? Most Middle Eastern countries aren't free. You can't compare those countries to the US.. it simply ain't gonna work. The majority of this country might be Christian.. but then again, the majority of this country use to be white and enslaved black people... the majority ain't always right.
-SW