America's foundation is "Judaeo-Christian" values, most certainly. I respect that, and for the most part, value it. There are certainly worse ways to live your life than the Ten Commandments and the Golden Rule. However...
England's foundation was Norman power and rule. This has changed in the intervening ten centuries. England is still a going concern regardless.
Countries change (the alternative is death). America has changed. Large chunks of the population are no longer Christian, and, of the majority who still are, quite a few have figured out that what two (or more) consenting adults do in their own bedroom is nobody's business but those directly involved.
I am not a hypocritical liberal, to tell you that your religion has no place in politics. But I will tell you that if enough people disagree with you, you'll probably have to live with the results.
I have to live with Jennifer Granholm, for example. I cannot proclaim some basic, unalterable truth to drive her, willy-nilly, out of office. Fifty-one (I think) percent of Michigan's voters were silly enough to think that she would be a good governor. They're wrong, but their opinion will prevail.
And you cannot stone (or whatever) homosexuals.
"If we don't stand for freedom, straight down the line, what are we but another g-d- empire?"--Poul Anderson
Here in North Carolina. I can arrest people engaging in sodomy.
§ 14-177. Crime against nature.
If any person shall commit the crime against nature, with mankind or beast, he shall be punished as a Class I felon.
History
(25 Hen. VIII, c. 6; 5 Eliz., c. 17; R.C., c. 34, s. 6; 1868-9, c. 167, s. 6; Code, s. 1010; Rev., s. 3349; C.S., s. 4336; 1965, c. 621, s. 4; 1979, c. 760, s. 5; 1979, 2nd Sess., c. 1316, s. 47; 1981, c. 63, s. 1; c. 179, s. 14; 1993, c. 539, s. 1191; 1994, Ex. Sess., c. 24, s. 14(c).)