This particular movement doesn't just want to see more babies of the "right" kind in Europe; it wants to bring back a patriarchal family with mothers without earnings. It would be quite possible to raise fertility by adopting the reverse arrangement: just let all those men in the video stay at home with their many babies! It would work every bit as well.
That this is not their proposal is interesting and informative. But in some sense I get the idea that this movement offers white women the choice of being oppressed right now (for those who'd rather not give birth to a very large number of children, quite possibly in poverty) or of being oppressed later by the Islamic society that is projected to take the place of what is viewed as a feminist folly.
I smell false framing and the attempt to make us not see other options, including the one I suggested in my first paragraph.