Honestly this really just reflects on you and what you're capable of doing. All of my children eat vegetables. My middle daughter decided to become a vegetarian at 14. I can absolutely make sure that they do their homework. Otherwise there will be consequences. It's not been an issue. They are smart and get excellent grades. I can absolutely influence their ability and desire to take interests in things. It starts with taking interest yourself. My wife and I read books like they are going to disappear and my children have followed suit. We required our children to do some sort of extra-curricular activities and if they didn't choose them then we would. They learned pretty quickly to pick out things they are actually interested in doing.

All of these things that are somehow "impossible" for you are just facts about how my children were raised. And no, their success or failure is not up to the lowest common denominator in society. It's up to us as parents to raise them and equip them for the world. Not complain about how the world should change so you don't have to tell your kids "no".