> How does an infant/toddler receive legal representation arguing for the plug to be pulled, outside of the wishes of his parents?!

The child is not property. The child is a human, and has human rights. Those rights are protected. The child has his own independent legal representation to look after its best interests.

This system has been tested by international courts -in Europe- and they've found it works to protect the rights of the child.

> You know, like the Vatican offered,

No. The vatican offered the same end of life care he was getting, with the additional burden of a long difficult journey.

> A child like Alfie is given free medical care from one of many charity hospitals

I've already linked a page in this thread that shows this to be false.

You keep saying "government", but the UK government wasn't involved in any of the cases (apart from the EU ones).