TLV has a screening line for HBO customers located in the centre of the terminal, between check-in zones B and C. To use it, in my experience you require an electronic boarding pass (not a paper one), although YMMV. This line generally moves quickly.
Go here first when you arrive at the terminal. Once you complete the security interview walk straight ahead towards security screening and then turn right. The priority security line is the last lane available, past the wheelchair line. If the regular lines look fast, you might find they’ll save some time as the priority line can sometimes be backed up.
Once you clear security, if you have a biometric passport you can take care of exit immigration using a kiosk on the side of the immigration hall. I’ve never waited more than 30 seconds for a kiosk.