Most of the sites in Israel have only Hebrew content.
They are for an Israeli audience, so why should the domain names be in English? 

A source of great frustration for many Internet users is the bias towards English and the Latin character set, which the Domain Name System was based on. This prevents billions of people from using the characters of their native tongue when typing in domain names and is a substantial barrier to Internet usage, particularly among the elderly. 
This also avoids the challenge of trying to spell out the Hebrew names of sites in Latin characters, when there is often more than one choice. For example, the Hebrew word for dance could be spelled out as "rikud", or "rikood", or the popular holiday- sukot can be spelled, also, as "sookot", or "sucot", or many other possibilities.

After decades of this inconvenience, the support of non-Latin characters finally commenced.
Domain names written in Hebrew letters can be ended in either ".com" or ".net". and since January 2011, the popular ".co.il" and .org.il are available too. 

Registration and use of the permitted domain names is enabled through I-DNS.net (Internationalized Domain Name System technology), which supports more than 59 languages.

Checking availability of domains, in Hebrew, includes, in fact, a number of intermediate stages, which are executed "behind scenes" of a search using an advanced tool checker.
There are sites where you can not determine whether a domain is free or already taken, by only typing the desired name in Hebrew  and the search is done in several steps , as described below:
1. Entering to codes converter (IDN Converter Tool) in order to translate the characters in Hebrew into PunyCode, in
    conformity with the I- DNS standard.
2. Typing the domain name in Hebrew, without the "www" and without its extension in the empty field.
3. Clicking on the "convert" button and copying the result, appearing, in "PunyCode" field.
4. Back to the domain checker tool, while placing the copied code in the appropriate field, using the technique of
   "copy - paste". At this point, there is a need to add at least one relevant extension, from the limited list of:
   .co.il, .org.il, .com or .net .
5. Checking the availability of a new domain (in Hebrew) and continuation in the registration process.