The Orthodox Church itself rejects your conception of the church. Also, we reject the claim that the church is a denomination. This type of ecclessiology only serves to justify the existence of protestant sects that are detached from the church.
The ancient and venerable Saint Basil the great has this to say about your baptism...
"...they who were broken off had become laymen, and, because they are no longer able to confer on others that grace of the Holy Spirit from which they themselves are fallen away, they had no authority either to baptize or to ordain."
Now, it is the position of the church that under certain circumstances a bishop may make acceptable a baptism done by heretics, but this can only be done on entering the church and receiving chrismation. Apart from the church, there is no baptism.
A more recent Orthodox saint, Hilarion Troitsky writes, “Outside of her, whatever is called ‘Church’ is a congregation of heretics that have lost the one faith in the one Lord and consequently the baptism which is performed by them is not the Christian baptism.”
Even in the acts of the apostles we see that after Philip the deacon baptized the Samarians, it was still necessary for a bishop, priest, or in this case an apostle to come give the gift of The Holy Spirit.
"...when they believed Philip preaching the things concerning the kingdom of God, and the name of Jesus Christ, they were baptized, both men and women... Now when the apostles which were at Jerusalem heard that Samaria had received the word of God, they sent unto them Peter and John: Who, when they were come down, prayed for them, that they might receive the Holy Ghost: (For as yet he was fallen upon none of them: only they were baptized in the name of the Lord Jesus.) Then laid they their hands on them, and they received the Holy Ghost."
As St Basil up there said, those who are not with the church cannot be priests, they are laymen. Laymen cannot administer the sacrament of the seal of The Holy Spirit.
St Gregory the dialogist writes...
"And indeed we have learnt from the ancient institution of the Fathers that whosoever among heretics are baptized in the name of the Trinity, when they return to holy Church, may be recalled to the bosom of mother Church either by unction of chrism, or by imposition of hands, or by profession of the faith only. Hence the West reconciles Arians to the holy Catholic Church by imposition of hands, but the East by the unction of holy chrism."
St Leo the great writes...
"For it is the unity as such of ecclesiastical society that avails unto salvation, so that a man is not saved by Baptism to whom it was not given in that place where it is needful that it be given."
The point is, you may think you were baptised, and you may think you received The Holy Spirit, but the church has taught since the beginning that these things are not done independently of the church. The fathers of the church did not have the same understanding of ecclessiology that you do.
As for this "Is God supernatural" stuff, it all seems very semantic. I don't think it is that important. I wouldn't debate you on it.
