you believe the person who could have killed that lady with his punch doesn't deserve death? you're way of thinking is beyond what i will ever understand.
No, I don't think a guy that commits assault should be executed. Is it disgusting? Sure. Do I hate it? Sure. Execution is reserved for those who commit murder. Rape and pedophilia is horrible as well? Do guys who commit those crimes deserved execution? I guess in certain circumstances. A felonious assault? No.
And your way of thinking is way beyond what I understand as well. We just can't execute people in this world. It's not how it works.