First, North African Jews would be Shephardic, I think - the vast majority of North American and European Jews are Ashkenazic. The Shephardic Jews may have very different methods of determining who is a Jew - I simply do not know (and most N. American Jews would be equally clueless).
Second, holding to the matrilinial transmission of Jewishness is actually stronger the more Orthodox the Jew, rather than the reverse - that is, Reform Jews are more open to having Jewishness transmit through either line (so long as the child is brought up Jewish). Though this is a reasonably recent development.
As to your questions – I think you may be incorrect on the point that having Jewish women marry outside of the faith is a “bigger deal”. The reason I have for thinking that, is that Jewish bigotry (Jews are as capable of being bigoted as anyone) focuses on the figure of the “shiksa”, which is a perjorative term used, rudely, to refer to a non-Jewish woman:
This person is, basically, a figure who is always portrayed as going out of her way to attract Jewish men - she chases after them. She’s a ‘dirty, bad girl’ who is attractive because will do things no good Jewish woman would. She’s a figure of threat, because the Jewish men may give in to her blandishments and marry outside the faith … there is an equivalent term for “non-Jewish men” but it is nowhere near as commonly used or popular in dirty jokes and the like.
My take on this is that Judaism, as a group, has more anxiety over the sexual “threat” posed by non-Jewish women then by non-Jewish men. Non-Jewish mnen are not seen as “dangerously sexy” in the same way at all (indeed, the trope preyed upon, for whatever reason, is that Jewish men are highly desireable by Jewish and non-Jewish women alike).
In addition - marrying outside the faith is still of concern, even for women, because of the threat the woman or children thereof will convert to the faith of the father.
As for “reverse China syndrome” - I’ve never seen any evidence of that. Traditional Jewish culture was as sexist as anywhere else, and the birth of a son was considered superior than that of a daughter (for one, daughters needed dowries). Also, men were preferred because they could perform religious duties forbidden to women, a big deal. Modern Judaism is, depending on the denomination, quite egalitarian - for example, there are many female rabbis these days, something unheard of a hundred years ago.