My point is that people should be branching from stable branches. From your explanations, I understand your scenario is this: a private (shared by a team) repo

My point is that people should be branching from stable branches. From your explanations, I understand your scenario is this: a private (shared by a team) repository on github. You work on your PC and then push on the shared repository on github. If this is the case, you should push only when the branch is stable. If people really need those branches and you rebase them, you jut make it hard for them. Either you stop rebasing what they consider public branches or you reconsider what are your public branches.