I would be furious if this happened to me. Listen, you have absolutely every right to feel the way you are feeling about this; it is not irrational in the least. This is not a situation that should ever happen to anyone, IMHO.

Definitely review your lease and see what you can do. What they did is unacceptable. Some leases say that the landlords have to give you a certain amount of time's notice if someone is going to be coming into your home for maintenance. For example, maintenance came into my apartment today to clean the furnace and check the fire alarm, and they gave us a three days heads up so we weren't taken by surprise. Of course, they didn't screw with my pet's stuff or leave the door wide open.

Is there somewhere you can keep your kitty so he stays safe while they're doing the work? I just wouldn't want him to get out or something. And maybe there's a person you could stay with until this is done? I know it might not feel as safe as your home felt before all this, but at least you know that those men won't be a problem for the time being.

Be safe, be confident, and stick to your guns! This should not happen to people, it's just ridiculous! I hope you are feeling a little better by tomorrow, and hope your kitty wasn't too stressed by this either <3