Let me just make sure I understand you:

A "fetus" becomes a person when it is born----because----"it" is able to survive on "its" own? 

So--from your view we become people when we can survive on our own?

What about all the people on a coma--and being supported by life support. They can't survive on their own--so are they not people subject to rights?  Do we get to kill them from your view?