
For the purposes of this question West Asian countries are: Georgia, Armenia, Azerbaijan, Syria, Iraq, Iran, Afghanistan, Turkey, Cyprus, Lebanon, Palestine, Israel, Jordan , Saudi Arabia, the UAE , Qatar, Kuwait, Bahrain, Oman, and Yemen
Very few of these countries even have a higher TFR than Israel. Just Afghanistan and Yemen are significantly higher and Iraq and Palestine are a bit higher. They are all dropping including Yemen and Afghanistan. I guess the Taliban's takeover of Afghanistan could have stalled it a bit but even with a theocracy Iran is under replacement. Meanwhile Israel's remains high and shows no signs of dropping anytime soon. Israel's TFR has been consistently high for its whole existence.
The only ones NOT below it are
Syria: 2.5ish and dropping
Iraq: 3.4ish and dropping
Afghanistan: 4.5ish, dropping (guess Taliban could halt drop)
Palestine: 3ish, dropping
Jordan: 2.5ish, dropping
KSA: 2.4ish, dropping
Kuwait: 2.1ish (it's close already)
Oman: 2.5ish, dropping
Yemen: 3.7, dropping
Israel is 2.8-3 and stable
The rest will drop with development, Israel will maintain its high TFR in a first world context.