Is this a good reason to put down my dog..?

you do not put the dog down because your family was not successful in training ... i work as a dog sitter and i listen to the owners go on and on about their dogs separation anxiety and as soon as the owners are gone, it is a different dog ... in six years i have come across exactly ONE dog with true separation anxiety yet at least 50% if not more owners think their dog has separation anxiety ... a neighbour in my building just had her dog put down because she could not "train the anxiety out of it" ... and guess what, that neighbour is neurotic just like her dog was ... and when i would care for the dog it was a completely different dog ... it listened, it did not try to attack other dogs with me holding the leash ... i find your question is chock full of excuses and clearly typed by someone whose skills do not include dog training ... you do not put that dog to sleep, you give it to someone with a clue about dog training ... i always find it suspect when people list everything they tried and then say it does not work when it works for everyone else ... a dog is a direct reflection of its owners ... re-home the poor thing ... and accept some responsibility for what you have created !!!