You use this verse to prove your point?
Who is Jesus talking to here? Saducees. The Saducees did not believe in the authority of the prophets, nor the historical or poetic books of the O.T. Scriptures. That is why Jesus uses a quote from Exodus 3:6 (in the Torah) in verse 32 of this same chapter. He knew that the Saducees would not have accepted some of the better known references such as Isa. 26:19, Daniel 12:2, or Ezekiel 37:12-14.
But the point is that Jesus referred to the authority of the Scriptures in answering the questions of the Saducees.
When Satan tempted Christ in the wilderness, what did he appeal to?
Luke 4: 4 And Jesus answered him, "It is written, 'MAN SHALL NOT LIVE ON BREAD ALONE.' "
Luke 4: 8 Jesus answered him, "It is written, 'YOU SHALL WORSHIP THE LORD YOUR GOD AND SERVE HIM ONLY.' "
Once again, Jesus referred to the authority of the Scriptures.
Now, who or what should the Scriptures share authority with? Don't say Jesus Christ, or Holy Spirit, or God the Father, for the the Scriptures are given their authority by Jesus Christ, Holy Spirit and God the Father. The Holy Spirit is the author of the Scriptures. This is what gives them their authority.
Should we share that authority with popes? These are the same popes who have proven themselves not only fallable, even when speaking for God, but also antichrists in their behavior and doctrine over the centuries. Is this who you would have us share authority to speak for God with?
Perhaps we should share it with self proclaimed prophets? People who come along who claim to speak for God, and yet their words differ from Scripture. We should obey them and ignore that which we know is God's word?
2 Timothy 3: 14 You, however, continue in the things you have learned and become convinced of, knowing from whom you have learned them, 15 and that from childhood you have known the sacred writings which are able to give you the wisdom that leads to salvation through faith which is in Christ Jesus. 16 All Scripture is inspired by God and profitable for teaching, for reproof, for correction, for training in righteousness ; 17 so that the man of God may be adequate, equipped for every good work.
What was Paul speaking of here? Popes and self proclaimed prophets? I think not.