You are so wrong.
Yes, God predestined people to salvation before the foundation of the world, but he only did this because he already knew who would accept his offer of internal salvation before he made anything. God knows everything and nothing can be hidden from him, so of course God knew who would accept him and who wouldn't even before he made us.
However, this does not mean that WE know who will accept him and who will not. That is why we are commanded to preach the gospel to all creatures.
A baby cannot understand the gospel therefore they can't be baptized. Further more a baby doesn't need to be baptized, because they are not at the age of accountability and are therefore sinless before God. I have no idea why Catholics can't understand this.
Neither could answer the questions. They didn't know, and yet the ministers of their churches thought that they were at 'the age of consent.'
Should the one little girl be baptized again? I don't think so. Baptism is what God does for us. We, even as adults can't fathom His love for us.
Because the RCC persists to this day in trying to sell the idea that the RCC -- not Christ -- dispenses salvation. That is why good little catholic mommies, instilled with the superstition of the RCC, believe their babies won't be saved if they die before they are 'baptized' by the RCC. [Of course, our not-so-friendly Calvinists who are busy damning everyone not in their group (sounds similar to the RCC doesn't it?) don't help -- they would also damn irretrievably most dying babies. [Thankfully, Jesus, Calvinist/RCC pontificating to the contrary notwithstanding, doesn't agree.]
I generally agree with you on the issue of believer baptism because it doesn't really DO anything. We observe the ceremony of baptism as an outward demonstration and testimony of what Christ has done in our hearts. But if Christ hasn't regenerated one's heart, it doesn't matter if you take a shower, a bath, a scuba dive or a high dive, it ain't gonna "work."
Short and sweet -- Jesus saves, not baptism. No matter who does it or how or when it's done. A little (or a lot of) water and an incantation is still just water and incantation.
When everyone has heard the Gospel of Christ, THEN we can discuss which form of baptism comes closer to what the disciples were doing. [Remember Christ never 'baptised' anyone.] But until everyone has heard, it really doesn't matter.