I'd say no, you shouldn't have him put down.
You know that he gets anxious - starts barking, growling and running around when you have visitors... so if you can't control him, you should manage him effectively. One option would be to put him somewhere safe and out of harms way before allowing visitors to enter.
Your wife opened the door before you had him under control and he kicked off - and now due to a lack of communication and because of your own failings you want to kill him.
There's your problem right there - you and your wife.
You know that he gets anxious - starts barking, growling and running around when you have visitors... so if you can't control him, you should manage him effectively. One option would be to put him somewhere safe and out of harms way before allowing visitors to enter.
Your wife opened the door before you had him under control and he kicked off - and now due to a lack of communication and because of your own failings you want to kill him.
We have been looking to rehome him ourselves but had no luck. He is lovely dog outside of his anxieties, which I had lovingly entitled 'bozo dog', but we have to be honest and say we can't handle it and are not prepared to put the time and money into it. I don't like the picture it paints of me in truth.
There's your problem right there - you and your wife.

