If she’s unwilling to rehome the dog (which I fully agree should be a last ditch effort) you should have looked into finding a behavioral therapist for the dog when the problem started. If you want to stay in your home, I’d highly recommend talking to your vet to find someone in your area that can help and then providing your landlord with documentation that shows you are addressing the problem.

oh cry me a river, train the dog

How about you act like a freaking adult and actually train your dog? And if you’re incapable of doing the training, be fucking responsible and hire a trainer. Thinking that getting rid of a dog because it is barking is a valid solution is the sign of a true fucking asshole that doesn’t deserve to ever have pets for the rest of your pitiful life. You should be fucking ashamed of yourself. Your wife is 100% right in refusing to get rid of the dog. Is it shitty it has progressed to this point? Yes. But there were other avenues that could’ve been pursued before it even got this far.

Dog owners like you ruin it for the rest of us.

Don't you live there too? Train the damn dog.

As a landlord evicting people is a pain. If you agreed to take action in writing now by training/relocate the dog I bet he'd rather do that then go through the eviction process.