[af_vet_1981]

I think I understand your point and the pseudoChristian cults are problematic.
1. I meant to include Mormons as I did. I could not add them to the official nonChristian list, and neither can I add them to a Christian list with separated brethren. as they are certainly no longer Protestants; pseudoChristian seems to fit. There are other modern pseudo Christian cults that devolved from Protestantism. They look back to Abraham too, although in serious error. They cannot be called Christian, and to call them nonChristian doesn't fit with their origin either; neither does postChristian.
2. I am not bigoted against Mormons. I don't hate them. I don't demonize them. I don't assign perjoratives to mock them. They are very unlikely to enter a Catholic parish church with bullhorns screaming at the parishioners in prayer that they are going to hell because they worship and adore a false god.
3. The issue in baptism is the formula and intent of the baptizer, so your example of an athiest is also problematic. A Mormon who does not properly believe in the Holy Trinity even as he invokes the right words. The baptizer must have the intention of doing what the one holy catholic apostolic church does when it confers baptism.

[Legatus]

If I understand correctly you're basing your defense of CCC 841 on islamic belief in the God of Abraham. In other words; they say they worship the God of Abraham, we do worship the God of Abraham, therefore we're worshiping the same God.

Islam is a mixture of Christian heresy and paganism. I think that our non-Catholic brethren here are firmly convinced that there's too much paganism in the heresy for their god to be God. I agree with them.

I realize I'm going out on a limb in disagreeing with the CCC but our differences with islam go beyond whether mohammed was a prophet (we all agree he wasn't). Islam and Christendom disagree on the very nature of God Himself.

I think the argument that tries to include islam in the family of Abrahamic religion misses the point that the Hebrew religion is not a man-made religion, it is founded by God. Islam was not. That alone should have been the red flag that Cardinal Schönborn apparently missed when he was compiling and editing the CCC for pope St. JPII.