These parents are clearly stuck in the Denial stage of the 7 stages of grief. I've been a death-with-dignity supporter since my grandfather suffered unnecessarily in a nursing home with Parkinson's for 8 years.
Taking this infant off life support is simply the most humane and peaceful thing to do. Denial isn't going to heal him, I hate to break it to you.
We well understand that a child's life is in the hands of its parents until age 18. Especially infants who cannot make their own decisions. In fact, infants are wholly reliant on their parents for survival, care, and feeding.
The state should not have the power to determine whether a child lives or dies, unless the funding is entirely reliant on the state and they need to make decisions on that basis. That's not the case here.
This isn't euthanasia. It's straight up murder. Euthanasia, conceptually (and I support it) is inherently about a terminally ill individual's capacity to make a decision to peacefully end a life. It was never and is never about the state's ability to end the lives of others, especially when the financing isn't even theirs. Especially without their opinion or the opinion of their loved ones to factor into the matter. That's explicitly the antithesis of euthanasia's basis.