No, they are not pure fabricated fantasy. Christians in America have been frequently persecuted in America by the LGBT community and I have several examples of such stories that have been proven true, just as you claim to have hundreds of examples of LGBTs being persecuted.
But where LGBT people are being punished, persecuted, and murdered for their orientation are in the very nations in which the same things are being done to Christians.
In America and other similar nations, LGBTs do not have to worry about being punished or killed for their behavior nearly as much as those living in an Islamic country where such things do routinely happen.
And contrary to your accusations, no one is forcing anyone to kow tow to the Christian faith. The opposite, however, has been the case far more often than the other way around.