Most motor proteins use brownian motion (the random vibration of particles) to "move" and make other actions, but you rarely see any rendering showing what it looks like in real-time because it's too fast and wiggly. All of these mechanical "clockwork" animations are super-slowed and clarified for better understanding.

There are hundreds of variations of this animation out there which are very similar, some made by major science organizations, so while you're right that it's not "true to life" it's the standard, acceptable model, and not entirely a product of a church. Although I've seen plenty of creation-science groups use all kinds of biomechanical motor motion to justify creationism, so it's hardly matters. They will believe what they want and interpret what they want no mater what.