I heard recently israel is attempting to pass a law that taxes foreigners who own property in israel, not sure what the details are and if it passed/or about to or was just an idea.
The tax is for both Israeli and foreign owners of 3 or more apartments, and for those who have apartments without living in them for most of the year, and not renting them, they are trying to control the increase in apartment prices, it will not work.
Also if you renounce Israeli citizenship it is much harder to get again when needed, my family and I are all keeping our Israeli citizenship, if or when it gets bad here like a repeat of 2008-09 and it will, ill have a place in Jerusalem to move to.