Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Kuching to Jerusalem as you normally would.
For a flight from Kuching to Jerusalem, you will be flying from Kuching. Kuching (KCH) is just 7.4 km from the centre of the city. Kuching is the only Kuching airport and it handles 0 outbound flights to Jerusalem per day. 0 airlines have flights to Jerusalem from Kuching on a regular basis.