In the case in question the lifestyle in question is gay marriage. A large portion of the world - an overwhelming majority - still support "traditional" marriage as between a man and a woman.

What other lifestyle do you think is on conversation here?

You have the right to live how you want. Fuck who you want. Dress how you want. Etc.

You don't have the right to force others to support that lifestyle - especially "artists" who do stuff like make cakes and websites.

If you force me to do stuff that goes against my religion or deeply held beliefs - whatever the topic - then you're wrong.

Religion is a protected class as are the beliefs held by religious people.