[Sticks]

So who is you contention with, Christianity or Catholicism?

Many don't read the Bible and just accept what some groups say what it teaches. Also some who profess to be Christians do not live up to those ideals.

As for "unbaptised babies"

First Baptism if you read the New Testament was for believers and not infants. Second it was by immersion as the Greek word Baptizo used means immerse and baptism in Romans 6 and Colossians 2 is portrayed as a burial
Thirdly, infants are born innocent and not contaminated with the sin of Adam. That is the false doctrine of Original Sin, which Ezekiel 18 demolishes. Sin according to 1John is an act. Babies who die in infancy reach heaven and do not have to go to Limbo, a place whose existance is not supported by scripture either.