In the '30s the Jewish Agency handed out certificates according to "party lines", and anyone who was Religiously Observant got the short end of the stick. The result of that policy, and similar approaches was that even though there were "Dati'im" among the settlers, the first Kibbutz Dati had to wait until 1937, and Poalei Agudat Yisrael didn't get an allotment until 1943. Their disability was that they were religious. The Jews from India wanted to come on Aliya in 1948, but the leaders of the State were afraid of the "tropical diseases" they might bring to the country. In the meantime, Jews from Eastern Europe came in boatloads. In the '50s Jews from North Africa began arriving, from Yemen too, and we know about how they were "greeted" by the authorities. They pulled the same shtick with potential Olim from the States who had "problems", medical or otherwise. The bottom line is that Agency invited the Olim they wanted and disinvited the Jews they didn't want to come.
First refugees travelling on Hungarian bus arrive at Austrian border (Reuters)
from the article: Golda Meir told Poland: Don't send sick or disabled Jews to Israel