"Fine, I will tolerate. But I draw the line at exposing my children to things that I believe are not morally right for me or them. What people do in their own lives is their business, but when they begin to promote their lifestyle, a lifestyle that I believe is immoral (and teach my children so) it is a personal affront to my rights and the rights of my children."

I suggest the author goes back and  gains a deeper understanding of the word "tolerance". 

Second, the fact that you define it as a "lifestyle" shows you have much to learn. This is not a lifestyle. A lifestyle is me choosing to spend more time outdoors than reading. Or me choosing to live in the city vs the country or  which God I believe in  or choosing sports over opera. These things define my lifestyle, the things I choose to do. 

There is no choice here for LGBTQ individuals. They are born into their bodies the same way I was born into mine and you into yours.