> why would the Israel and Faroe Islands outliers exist with many more children
"Many more". Israel: 3.11 (down from 4 in 1960s), Faroe Islands: 2.6 (down from 3.2 in 1970s).
Compare to Niger: 7.24.
And especially compare to muslim countries which just love having kids, don't they? Oh, look dropping from 8 kids per woman to around 2 for most of them (some are understandably lagging behind, like Yemen, Iraq, Gaza)
> That seems to indicate that 2 is not in fact a magic number at all.
I said ~2 kids, i.e. about two kids, not exactly 2 kids. There's nothing magic about this number, it's sub-replacement fertility [1]. 2.1 for developed countries, 3.4 for some developing countries. Yes, some nations will dip below 2, can't see how that disproves my words. Neither culture nor religion have anything to do with it. Give people quality of life, education, access to modern medicine, and they stop having 8 kids per woman, and quickly dip to about replacement fertility rates.
[1] https://en.wikipedia.org/wiki/Sub-replacement_fertility