If anyone is mad enough to be called Jewish, then let them joined our varied community. As has been pointed out, the term Jewish isn't strictly appropriate as they are apparently not descended from either the tribes of Judah or Benjamin, but a common ancestry daring back to a couple of centuries after the time of David. Presumably they have had little to do with the strictly post Temple Halakhah. But they have kept faith with Torah. Is that not more important than vague ideas about racial purity? We are all mixed racially in one way or another. Every one of could claim a direct decendancy from almost everyone alive at the time of David and most of us could say the same about the time of Jesus.
Army: Blast in Korean DMZ wounds two South Korean soldiers (Reuters)
from the article: Indian Jews from 'lost tribe' of Bnei Menashe arrive in Israel