I can understanding reading from the Gospels more often than other scripture, but it sounds like you have them competing against each other for supremacy. We have our favorites too, but we don't say one book is "truer" than another. We see all scripture being God's infallible word. One book cannot be "more perfect" than another. They are all infallible.
Some of +Paul's teaching is not talked about in the Church (the double-predestination, and the doctrine of atonement, for example).
Well, I will give you full credit for acknowledging that Paul does teach those things. I just have a hard time imagining myself not accepting a major teaching that I, or my system of belief, really thought WAS in the Bible.
Higher authority. The Gospels actually quote Christ. They are not 'revelations' as such but an eyewitness account (and Luke's Gospel is actually an exception as it is a second-hand 'witness' collected from those who did witness Him first-hand) and as such they are the norm against which all others have to conform.
No other writing can be equal to them. Equality is not the message of the Bible. If anything, the Bible could be considered profoundly anti-egalitarian and anti-democratic. For even Christ admits (and I can see where the Arians got their ideas from) "for the Father is greater than I" [John 14:28]
Well, I will give you full credit for acknowledging that Paul does teach those things
I am not saying that's what he is teaching; that's what the Protestants say he is teaching. My point is that the Church does not treat all of the scripture the same way. It never quotes from the Chronicles or the Kings (historical books) because neither did Christ in the Gospels, nor are they listed in the 'canon' mentioned by Christ (cf. Luke 24: 44).