The author is living in fantasy world of 10 years ago.
Ten years ago all 'they' wanted was to be left alone, to do their abominable acts in the privacy of their own homes.
Today ... that is not good enough
Now if you are a baker you must be forced to bake them a cake; if you are a pastor you must never call them to repentance or you will be in jail; if you a counselor you must never try to cure them. This is a far cry from "leave us alone."
The author has his head up his liberal rear end believing that all they want is "equality." Thinking people understand that is not what they want ...
You omitted the most important demand: if you are a parent, you much deliver up your children for their sexual pleasure.
He distorts the truth out of... malice.