Jesus had no biological father if you believe the Gospel accounts. God the Father was free to give him whatever male genetics he wanted to...and if it is Cohen, it is interesting since he is our high priest.
Y'shua still had the DNA of his mother Miriam.
But High Priest under the order of Melchizedek
Ge. 14:18 Then Melchizedek king of Salem [That is, Jerusalem] brought out bread and wine. He was priest of God Most High,
b'shem Y'shua