Here is how Catholic religious freedom worked in the constitutional Catholic countries of Brazil and Colombia before the Vatican II church oredered them to drop Catholicism as the State religion:
Non - Catholic religions (Jєωs, Protestants, Mohamedans etc.) were permitted to have meeting places, but no public proselytizing was permitted, and no signs were permitted on the meeting place.
It seems reasonable that Jєωs, Mohamadens, and Protestants were permitted to have a meeting place, but no public proselytizing, and no signs permitted.
I think that Novus Ordo Catholics tend to believe that the American way of treating religions is more fair that what is written above. They believe that all religions should be considered as equal to Catholicism, at least as a society. But I don't think that that's what the Church has traditionally believed and taught.
A society which is thoroughly Catholic is more fair and just, in that it maintains the public order, and promote God's laws, which ultimately leads souls to Heaven .
I recall reading about the history of Mexico in a book called "Blood-drenched Altars," written by a Catholic priest. He wrote that Mexico, before it became independent in about the year 1800, had a higher standard of living among its populace that the populace of the United states. That may seem hard to believe now, but I believe it. After Mexico's independence, revolutions began to be fomented by the enemies of the Church - some who started them were Mexicans, and they were supported by freemasons in the U.S., who did not like the idea of sharing a border with a strong Catholic country such as Mexico.
It's often difficult for a Catholic country to survive the snares of the enemies of Catholicism. The Protestant Reformation is what helped to start it all, IMO.
I think that the founding fathers of our country had good intentions, in believing that if only men were free, that they would be good, and do the right thing, for the most part. But they didn't take into account original sin. If a country chooses to live outside of God's laws, these laws of which are for the public good, and also exist to assist souls in salvation, then that country which chooses to live outside of God's laws will be doomed, though it could take awhile.