> We're talking about A because Israel extends certain privileges only to A-jews. Orthodox jews only accept A-jews.
No. If you convert today by Orthodox standards, then you will be recognized by Israel and Orthodox jews as a jew. You most certainly can do it, you just have to follow stricter standards and there is no reason to believe that such standards were not followed then.
"This resulted in several hundreds of thousands of persons fitting the above criteria immigrating to Israel (mainly from the former Soviet Union) but not being recognized as Jews by the Israeli religious authorities, which on the basis of halakha recognize only the child of a Jewish mother as being Jewish."
No. If you convert today by Orthodox standards, then you will be recognized by Israel and Orthodox jews as a jew. You most certainly can do it, you just have to follow stricter standards and there is no reason to believe that such standards were not followed then.