If this is true, and even if you (or someone) made it up but it is a practical possibility, then it has truly horrific consequences for social organization and the peaceful transition of power (democracy).
I've written about that before: https://news.ycombinator.com/item?id=15110645
This is bad.
If you take away more and more ways to (relatively) peacefully protest something (for example by arresting the leaders as you say). Then the frustration will just continue, and grow and grow until the only way is violence, say what Marx had in mind.