I see the tearing of the Veil in the Temple as a sign that access to God was opened to all directly and not requiring sacrifices or priests. 
Jesus taught us how pray to God directly, taught us to be as merciful/compassionate as God is merciful/compassionate. There was no requirement for sacrifices. Jesus didn't need to come and die as a sacrifice to change God's mind about humans. Jesus came to change our mind about God. I don't see Hebrews as coming from Jesus but from an unreliable source.