If you're looking to take down those intimidating breakers silently, the executioner skill is exactly what you need (this is actually one of the most effective ways to deal with these tough enemies). You'll find it in the melee skill tree, and while it takes a decent number of skill points to unlock, it's absolutely worth the investment because it lets you avoid those resource-draining direct confrontations.

The execution itself is pretty straightforward - just crouch near your target and hit triangle when you're close enough, but timing is everything here (i'd suggest practicing your stealth approach on regular freakers first). What makes this skill particularly valuable is that it works during those panic-inducing moments when a breaker or reacher has grabbed you, giving you a chance to turn a bad situation around.

Until you unlock it though, you've got some solid alternatives to work with. Molotovs are great because these big guys really don't like fire, and if you're good with your aim, focusing your shots for clean headshots can work wonders too. Just remember, whatever approach you choose, always have an escape route planned - these creatures can really ruin your day if things go south (maybe interesting: environmental traps can buy you precious seconds if you need to reposition).