There is a winter weather warning for Thursday night into Saturday morning. Heavy rain, cold, and gale force winds (with higher gusts).
There is a Winter Storm Watch for Friday evening into Saturday afternoon for the northern peaks of the Galilee and central Mountains, including Jerusalem.
As noted, the main upper (500 mb) support for this storm will arrive Thursday night into Friday, with the coldest air at 700 and 850 mb arriving Friday evening and Shabbat (Saturday). The global ensemble (GEFS) still shows a possible reinforcing shot of cold air at 500 mb late Friday into Saturday.
The cold air in the lowest levels will remain into Sunday, so any snow or ice that accumulates will be slow to melt.
Because of the unusual situation concerning upper air versus middle/lower atmospheric temperatures, it would be misleading to even try to estimate possible snow amounts. Instead, we'll rely heavily on our high resolution forecast data to give us more information as we approach Friday.
Tuesday of next week may bring another storm, with another round of frozen precipitation possible.