Yes-agreed-such is the issue with Zipporah the wife of Moses needing to circumcise her son & also Moses' son before entering Egypt with Moses, or God would not spare his life.  Until she agreed to follow and believe in Moses' God, her children were not considered Jewish or Isrealite in faith or worthy of God's protection.

However, faith does not determine lineage or tribal rites only blood line thru the Father makes you a son or daughter of Abraham.  Hence the worldly ownership rites and sacramental rites are combined in lineage and past down by blood from the Father.  Basically, the person gets faith life from their mother but soul life from their Father. We see this evidenced by Scripture that all those considered Israelites with an inheritance from God's promise to Abraham, must come from him & so God is described as the God of Abraham, Isaac and Jacob - defined by blood lineage, not faith, is what results in sacramental and property rites.  This was what I was trying to explain.