Boy, are you in for a surprise. Israel is a completely modern, western democracy, nothing like any of the countries surrounding her. Actually, I'm quite used to this "jumble" of the whole middle east (no offense) because when I travel abroad I often get questions like, can you dress any way you like and other strange questions. You can certainly wear shorts and a sleeveless blouse except in holy places (like in any country). For us, the way the very orthodox religious jews dress and their way of living in neighbourhoods like Mea Shearim, is more or less like you would regard the Amish, except we do have our religion and nationality in common. Anyway we natives have the same customs here as Americans and Europeans.
As far as changing the world, why make things difficult for people when it is not necessary. We all grew up learning the local customs that have served the natives for years. If they are happy and there is no benefit to them, why force them to change.
When we travel, we try to respect and follow the local customs. I am so hoping that Israel will have “western” accommodations, specifically toilets. I have learned to stand, however one of my companions cannot physically stand thus it is a challenge. It is even a problem for me, but one does the best they can. Also, I am very comfortable in shorts and a sleeveless blouse, but would not wear such attire in Israel.
As for the toilets, the last time I saw a "hole toilet" is in Italian train stations which was actually very strange. I can assure you that our way of living (including our facilities) is completely modern and western.
Have a lovely stay in Israel.