I doubt there is a huge flood of Syrian refugees trying to get to Israel, nor do think demanding that a tiny country like Israel with all the geopolitical and religious problems and constraints should take "their fair share" of Muslim refugees is in any way reasonable.
Israel takes in very few refugees in comparison to Europe or the United States (but then they take a lot). In fact, most refugees to Israel don't even have their refugee status checked before they're simply detained and then deported, particularly the ones from Africa.
All other forms of immigration to Israel are also highly restricted compared to the United States and Israel, with preference given to Jews. Even a person married to a Jew, but is not a Jew himself, might not be able to legally enter into Israel with their Jewish spouse who already has residence.
nor do think demanding that a tiny country like Israel
Who's demanding? But this logic about tiny vs big country stuff is trash. The US is a big country, and if a Jewish columnist like Ben Shapiro demands we take in Muslims because we are "big," but that Israel should expel every man, woman and child of the Palestinians who were born there because Israel is "small", then that columnist should go straight to hell.
In general, foreign countries should mind their own business and not worry about each other's immigration policies. I have no problem with Israel doing whatever it wants.