My parents exercised their authority over what TV shows I watched, though in their case, it was because they were convinced "junk TV" would rot my brain. I could only see The Beverly Hillbillies at friends' houses. So they weren't concerned with sex, profanity, or violence, per se. My mom was always home, but I realize there are now a huge percentage of "latch-key" kids who are home unsupervised. But IIRC, most TVs, cable boxes, etc. - have settings that allow parents to regulate the content their kids see.
So IMO, people who have religious or moral objections to some shows should regulate their own kids' viewing choices, and leave the rest of us alone to do the same in the manner we see fit. I'm really sick of judgmental moralists and religious zealots who want to impose their standards on me. All you have to do is look at the conservative southern states, where presumably the religious fundamentalists have more power and influence, yet the region has higher divorce, higher substance abuse, more STDs, more teen pregnancy, etc.
And let's not forget that most kids have smart-phones, and access to computers, where they can see videos of ISIS beheadings, hardcore kinky sex porn, and pretty much you-name-it. So we can all wring our hands over content on TV, but it ain't gonna do any good in the long run.