I believe all of these statements to be true and helpful. Together they comprise what is, perhaps, the real truth of the matter. Notice these truths as we break them down separately to examine them in detail.  

Christ fulfilled the initiatory ordinances of both Covenants.  

Christ was circumcised on the eighth day, as was required of all male children under the law and under the Abrahamic Covenant. Then as an adult ready to assume public leadership, He brought into being the initiatory ordinance of the New Covenant, inner circumcision through water baptism. Christ himself in this way, becomes the bridge from the old Covenant to the New. Jesus fulfilled all righteousness under the old Covenant and gave His own body and blood to institute the New Covenant.  

I the LORD have called thee in righteousness, and will hold thine hand, and will keep thee, and give thee for a covenant of the people, for a light of the Gentiles (Isaiah 42: 6).  

 Christ needed both washing and anointing, and in that order.  

God first cleanses what He is going to fill with His presence. Each Old Testament priest had to be washed and anointed before he could serve. This type had to be fulfilled in Christ by His baptism and infilling with the Holy Spirit. The same holds true for us.  

… be ye clean, that bear the vessels of the LORD (Isaiah 52: 11).  

 Jesus had to be prepared, scrutinized, and accepted as the perfect Lamb.  

Lambs used for sacrifice had to be without blemish or fault. They were kept in the house and carefully inspected for defects before they were presented to the priest as a vicarious sacrifice. If the sacrifice was rejected, the sinner would remain in his sins. The sacrifice had to be acceptable. This is precisely what had to be done regarding the final sacrifice, the Lamb that would take away all sin!  

Christ voluntarily identified himself with the people He came to save.  

Christ was made of woman, under the law for a reason. He became flesh and blood in order to become a true partaker of all that human life is. He further became a Jew, subject to all the law’s penalty for sin. At His baptism, Jesus publicly accepted His place as one of the human beings He came to redeem. Through this identification with man, He became able to take our place and die in our stead.  

Forasmuch then as the children are partakers of flesh and blood, he also himself likewise took part of the same; that through death he might destroy him that had the power of death, that is, the devil (Hebrews 2: 14).