Great, now how about extending this to voting rights?
Your child is very sick. Do you
(A) Do what is recommended by peer-reviewed scientific literature, of which one of the central tenets is that you only believe things which are backed up by data and solid arguments.
(B) Do what is recommended by your religion, of which one of the central tenets is that faith is sufficient reason to believe in something, and neither data not solid arguments are needed.
And who gets to determine (and enforce) "rightness"?
Or... just ask science questions: "Is planet Earth flat?".
In addition to that, you end up breaking the democratic system, which is so very good at keeping our disputes and disagreements from boiling over into a civil war.