Yes, security interview is done on all domestic Israeli flights as well as all outbound flights and inbound Israeli flights.
To the best of my knowledge, and from my experience there is no difference in the interview and security check between international and domestic flights. With the only difference is that (at least for Israeli citizens) a passport isn't required and other forms of identification can be used, like a driver's licence or an id card.
But, as @Zach Lipton noted in their comment, the entire pre flight process is shorter, so passengers are advised to come only 1-1:30 hours before the flight and not 3 as in International flights:
מועדי התייצבות בשדה התעופה לפני מועד הטיסה:
בנתב"ג ובאילת- 1:30 שעות לפני מועד הטיסה.
בשדה דב ובחיפה- 1:15 שעות לפני מועד הטיסה.
Arrival times to the airport before the departure times:
Ben Gution and Eilat - 1:30 hours before departure.
Sde Dov and Haifa - 1:15 hours before departure.
Domestic flights from Ben Gurion Airport depart from Terminal 1.
For flights on jet (ô"à) aircraft passengers should come to the airport an hour and a half before takeoff.ֿ
For flights on ATR (ô"à) aircraft passengers should come to the airport an hour before takeoff.