Nicely explained, Crandaddy. It strikes people as odd sometimes, but Donatism was addressed in the early church (as you know) and the sacrament was held to be superior to the officiant. IOW, it's a well-established understanding in the history of Christ's Church.
Well, I don't think what we see in the East is
straight Donatism (as it was held back in the early history of the Church, that is). I would classify it as a variant of that heresy, though.
Would be rather impossible for the baptizer to 'intend' to perform a Christian baptism when he / she doesn't believe....
It doesn't take much for someone to effectively think, "I'm going to perform a baptism in the name of the Father, Son, and Holy Spirit of the Christian Church, whatever that might mean," which is basically all that valid intent requires. (S)he might think it's all superstitious nonsense, or (s)he might even have outright hatred for Christianity, and
still satisfy the requirement of valid intent.
I suppose it's possible that a baptizer might secretly intend to do something other than Christian baptism, despite
all appearances to the contrary, but I really think it would take some effort to do this. I also think that just in case (s)he might succeed in this, God would make up for what is lacking.
That would depend upon one's doctrinal beliefs. Different churches would vary on that issue but thanks for being honest regarding your beliefs.
Sure thing!

Yes, different churches do hold different views on Apostolic Succession, the Episcopacy, etc., but the view that Anglicans, Catholics, etc. hold is very ancient, and we believe that it has been held since the very beginning of the Church.
I agree that God is bigger than us but I do believe we who are receiving need to be willing and accepting in order for it to be effective. God does... but do we accept....
To a certain extent at least, I agree. We must not take the sacraments to be magical tokens that guarantee salvation regardless of the disposition of the recipient. Indeed, the Apostle Paul warns us about receiving Christ's Body and Blood in Holy Communion unworthily (1 Corinthians 11:27-32).
Perhaps you can help me. If the personal faith, or lack thereof, is not an issue with either the individual being baptized or the person doing the baptism, and the necessity is saying the right words with the correct appurtenances and if baptism carries eternal salvific merit, then why do I not see any of the clergy of any of the denominations that profess this view out baptizing everyone they can find? If my eternal soul is at stake because I have not been baptized does it not compel you to baptize me ASAP?
Because while Baptism does carry with it the guarantee of regenerative and salvific Grace, it is not the be-all and end-all of the Christian life. Nor is it an absolute guarantee of salvation. Someone can reject their baptism, reject God and go to hell. More important than being baptized is willfully seeking God, and the Christian's job is to show forth God's glory to the unbaptized and encourage them in this. If it is God's will that they be baptized, then it will happen in due course. Want of baptism is not an automatic ticket to hell, and forcibly baptizing people against their will would be an
excellent way to turn them away from the Gospel.
Besides, while the worthiness of the minister is not required for a valid baptism, I'm not sure if a baptism would be valid if the person baptized had no interest in Christianity and strongly desired
not to be baptized. In fact, I'm inclined to say that such a baptism would not be valid.