There is this religion that douses people with water or immerses them in water as an initiation ritual. This is called "baptism". If you think it is okay to do this more than once when it was first performed by the wrong people, you are an "anabaptist".
That seems a bit reductive. From my understanding, it's not so much by the wrong people but rather without deliberate, conscious choice. Chiefly, anabaptists reject the notion of infant baptisms because an infant can't meaningfully repent and freely proclaim their belief in Christ. Which, as far as religion goes, seems like a reasonable position.
My formulation was indeed not accurate. I should have said "wrongly", instead of "by the wrong people". (To leave it open, what the exact reason could be, because that can vary.)
Aren’t there many Protestant denominations (my former church being one of them) that do not do infant baptisms? Baptism is a voluntary process after counseling and an interview with someone at the church.
Outside a few tiny movements, the Anabaptists were the first to object to infant baptism. Infant baptism was universal in the Catholic church, from the fifth century through the sixteenth, and even the Protestant Reformers adopted the practice. The Anabaptists were the Reformation's Reformers, and were named (by both Catholics and Protestants) after their most distinct and objectionable practice, that of insisting on adult baptism. (In fact, "Anabaptist" means re-baptizer -- they were named that in criticism by those who saw universal infant baptism as valid. This alone tells you something of the world they lived in -- a world that saw adult baptism mainly as "re" because infant baptism for everyone could safely be assumed.)
A lot of distinctive Anabaptist beliefs have gotten mainstreamed over the centuries, and what they were once best known for is now much more widely practiced. But the name sticks for historical reasons and the group still exists. You can read a summary of beliefs here: https://en.wikipedia.org/wiki/Schleitheim_Confession In the modern mileu, I would say what is most unusual and distinctive about them is pacifism.
He's saying he's morally opposed to dispute resolution methods that Paypal can't ignore and wants a way to resolve this dispute using a method that they can ignore.
Makes total sense; I don't know why you'd question it!