I don’t think that Jewish organizations like Birthright discriminate. They want all Jews to have children. I can’t think of anything equivalent to Birthright that operates on a national level.
How Birthright, a non-profit that organizes travel to Israel for young adults from other countries[1], is relevant to Israeli demographics? On their scale of operation, even if they had a significant repatriation rate (which I doubt), it would probably be just a 1-2% of their target group.
[1] https://en.wikipedia.org/wiki/Birthright_Israel