Basically, I want to be able to place an item in a breaker module (not a ghost like the filters), so it breaks blocks with it using its durability.
Basically for the sake of shears and Ex Nihilo hammers. Not sure if this is possible, but it would be nice.

Hmm. This is more like generic left-click functionality than a breaker, really.

I will consider it, but given that the router does not require any kind of power, I do have a concern about balance. Auto-clickers generally do need some kind of power. I know this mod's Activator Module doesn't need power, but then it only handles right-clicking (for the same balance reasons).

Like I said, I will consider it, but needs some thought.

Perhaps you should do it like the activator where it's put in the buffer and takes durability. I'd say make it take double damage as a result.
They aren't just left clicks, you need to actually BREAK the block with them. Generic left click would be more changing the setting on a profiling bench.
EDIT: Profiling bench from rockhounding chemistry