From the outside looking in: It seems to me that any group as small as the Jews would welcome anyone who is half Jewish and who places themselves under the covenant. Suppose Ishmael ahd told Abraham: I will not harrass Isaac anymore and your God is my God. Think how much difference that would have made in the Middle East of today.
Defense Ministry says had no knowledge of alleged improper defense deals by Gal Hirsch (Haaretz)
from the article: Expanding the tribe in the home of the brave