The Christian Israelite Church combines both the teachings of the Old Testament (Israelite) and the New Testament (Christian). As particular aspects of the religion are outlined, you will see both these teachings observed.
When God spoke to Abraham, He instituted circumcision as a sign of His Covenant with Abraham and his descendants (see Genesis 17:10). This has never been removed. As such, it is a requirement of any man professing to be an Israelite, and attempting to carry out God's Will (see Leviticus 12:3). It is therefore a pre-requisite on all members who wish to partake of the Covenant, but as it is not required for Soul Salvation, it is not obligatory on members who have not covenanted. Luke 2:21 records that Jesus was circumcised.