Lots of Orthodox go to church every Sunday but don't know much about the faith. Yet they know that there is something that they don't know much about.
There are lots of things to like about being Eastern Orthodox - incense, liturgies, all the baklava you can eat - but you know what I like best? None of that stupid 'women's ministry' stuff.
The Orthodox hierarchy doesn't have the kind of power that high-ranking clergy do in other churches. There isn't even a worldwide governing board to hold all the various Orthodox bodies together.
Someone who wanted to challenge Orthodoxy would not be able to locate a building to hold a protest march in front of. The faith is too diffused.