You are correct in your questions. It should be enough, and there should not be legal consequences. The problem is that Israel is a very peculiar theocracy, an

You are correct in your questions. It should be enough, and there should not be legal consequences. The problem is that Israel is a very peculiar theocracy, and one kind of prejudiced against large segments of its population. There are legal consequences of being "officially" Jewish in Israel (just like there were consequences of being officially Jewish in the USSR). For one, "official" Jews are entitled to Israeli citizenship. Then, the marriage in Israel is a can of worms of its own, as there is only religious marriage. See the article. Your Jewishness (or lack thereof) dictates where you will be buried, too. That should be enough to get you started.