I would use my bike as a mighty scepter to bludgeon anyone that had any intent of harming my wife, on my way towards dying to save her if necessary. And doubly so for my children.

I choose wife.

Now....... if my wife was making it a bike-or-me proposition, which would only happen if I myself had failed on many levels, started with, oh, who I married..... then I'd continue to ride, call her bluff, and work on ways to improve the relationship that didnt involve bull**** demands by one party on the other.