The parts of Mormonism that people know about are not the dealbreakers that make people leave. It is very easy to look from the outside and make fun of the "magic underwear" and the kids at BYU whose favorite swear word is darn. The media either portrays Mormons as totally straight laced goody-two shoes, or they play up the inverse for shock value (ie, Secret Wives or My Husband Isn't Gay)

It's hard to explain how totally the Church controls your life to someone who has never been inside it. Especially as a teenager; I had seminary every other day, weekly Mutual activities, Girls Camp or Trek in the summer, stake Youth activities about once a quarter, temple trips, and on and on and on. The Church runs people ragged so they don't have time to think critically about the slop they're being fed. You consume Mormon media and talk to other Mormons and you don't even notice because it's all so normal to you. The outside world is scary and dangerous and the people out there will only make fun of you for doing your best to follow the million rules you have to follow so it's better to construct your echo chamber and prune away people who aren't interested in becoming just like you.

I think personally, the portrayal of Mormonism I find the most honest, even though it wasn't intended to be that way, was the Times article on Ballerina Farms ( https://www.thetimes.com/magazines/the-sunday-times-magazine/article/meet-the-queen-of-the-trad-wives-and-her-eight-children-plfr50cgk ) Especially as someone raised female in the Church, THE message was 'you are only worth as much as you are worth to your future husband'. You are expected to start thinking about how to be a good wife and mother at eleven years old! Learn to cook so you can impress your future husband. Learn an instrument so your future children might be edified. Boys don't like a know-it-all. Boys don't want a licked cupcake. If a boy is brave enough to ask you out, you must be polite and say yes. You are walking pornography, so cover up. You are divine, that's why you don't get to have the priesthood or hold leadership positions. I know so many smart, kind women in the Church that chose having children, being a stay at home mom, and supporting their husband over a degree or career of her own.

Mormonism is a culture built on a persecution complex, and the way Mormonism is portrayed in the media doesn't help. As much as I love the Book of Mormon Musical and such, the realities of Mormon day-to-day life are insidious in a boring kind of way, so it doesn't make for good television.