That is strange indeed because verse 15 states;I understand the context quite well. What you are suggesting--believing in Jesus is being born of God--does not wash with the text.
"Joh 3:15 That whosoever believeth in him should not perish, but have eternal life." Seems you deny what the text says altogether.
You know I don't worry over such things. God's leading and teaching is far better than worrying about Greek Grammar.Remember all the occurrences of the verb and participle "born" is in the Passive, meaning that something is done to you by an outside force (God, in this case). Being born again, in this passage, is not something you can do to or for yourself. So, believing, according to the text is not what gets you born again.
The Archangel
MB