They are trying to transform a Western Christian republic....
It never was a "Christian" republic, Pat. The Founding Fathers didn't want any form of religion to be the basis of our law and government.
....into an egalitarian democracy...
Which was what the Founders wanted, and which is incompatible with a "Western Christian republic.
...made up of all the tribes, races, creeds, and cultures of planet Earth.
All creeds were welcomed in America at the beginning. Jefferson was a Deist, but he supported the right of Americans to follow any religion they wished (as long as they didn't try to impose it upon others by force of law).
They have dethroned our God....
Do we puny mortals really have the power to dethrone the Almighty God? Oh, you mean the eeeeevil librulls are simply trying to keep assholes like you from giving your particular "Christian" beliefs political power in America.
...purged our cradle faith from public life...
Our "cradle faith" would probably be Deism, not Christianity. That was the belief system that Washington, Jefferson, Franklin, and most of the Founding Fathers subsribed to.
...and repudiated the Judeo-Christian moral code by which previous generations sought to live.
People in this country have every right to follow the "Judeo-Christian" moral code if the want. They just don't have to right to turn it into our legal code, Pat. There are thousands and thousands of churches and synagogues in America, so I think that system is quite well represented.