Strange,for sure.Has your husband even explained his reasoning behind this?

I guess I may think a little different from others but my first thought was how sad.There has to be a story behind why he's doing this,something more going on besides him just being cruel and not wanting to share the dog with you.Like maybe he went through something in childhood that had to do with a dog and now as an adult he's determined he will have his own dog and nobody else is allowed to touch it.Or maybe he feels he needs this dog for love and to feel he has a purpose or something.

It doesn't sound like something worth throwing away a marriage over,it sounds like maybe he needs mental help.