Israel apparently has a reputation of giving citizens a hard time (i.e. the Ministry of Interior refusing to accept the request) to renounce their citizenship. You may explore the possibility (i.e. if it is even possible) of renouncing your minor children’s citizenship without renouncing your own (if they refuse your request to renounce your own citizenship.)
Another possibility is to not register your child’s birth abroad with Israel. This will mean they are technically a citizen, but the State of Israel wouldn’t (hopefully) know of their existence or the fact they are the child of a citizen. The problem with this is that they may somehow figure it out in the future. Additionally, in order to renounce the citizenship of a child (who has already been born), you will first need to register their birth with Israel. So if the renunciation doesn’t go through, at that point they will have him registered already.