Then who ordained Matthias?
Act 1:26 Then they cast lots, and the lot fell to Matthias; so he was added to the eleven apostles.
But all priests can trace their ordination back to the twelve.
Really? Who traces their lineage back to Judas?
Getting back to your original thesis, that His disciples received Holy Orders, Jesus made disciples of thousands. He specifically appointed 12 to represent the 12 tribes. Which tribe do your priests represent?
I hate to bring this to your attention, but the apostolic age is done. WE are the light of the world as Christ has given us His marching orders.
Tell me you're not suggesting Judas was one of The Twelve when Jesus spoke in Matthew 28:18-20.