You are actually agreeing with me that the 1964 Civil Rights Act does not apply to or protect the gays/LGBTQs from discrimination in public accommodations.
The 1776 US Constitution enacted the "separation of Church and State" policy, not the separation of Mosque/Temple and State.
The 1776 US Constitution also prohibited the powerful US government from restricting her citizens' rights to freedom of religion, freedom of speech, freedom to protest peacefully to seek redress and freedom to bear arms. In theory, this protection applied to Christian and non-Christian citizens. But in 1776, nearly all US citizens were Whites and/or Christians = about 99%, ie no Moslems or Hindoos.
In the early 1800s, Blacks were brought into USA as slaves, mostly to work in the cotton fields in the South. In 1861, the mostly Christian White citizens killed each other over slavery and politics and were henceforth split into Northern White liberals and Southern White conservatives = became perennial enemies. And 1 century later, US citizens would include sizable numbers of Moslems and Hindoos who were mostly immigrated into USA by the vote-pandering White liberals of the Blue States in the North and West.