No, not just animal sacrifice. The law of Moses.
Jesus told those who accused Him of violating the law of Moses that they were of their father the devil, who was a liar and a murder from the start.
Remember Moses killing the guard? Remember lying about his wife?
Remember moses blaming the people for God being angry with him?
Remember Jesus saying Moses is the accuser?
No I don't act like a pharisee, you're projecting. The pharisees accused based on the law of Moses, exactly as you're doing. I spread the Good News of Jesus Christ.
The law leads to death, the Spirit leads to Life. Jesus fulfilled the law and died because He was accused by that law, to give us Life. HE, being much greater than the law or the temple, loved us as Himself and handed over His life for us.