Hounding someone on something they don't agree with just makes them shut down a conversation.
Using something like that brings the bias to light without them ending the conversation. You cannot assist someone with seeing bias in media who just blocks you. While it sucks, sometimes small steps help getting you going in the right direction.
Israel has universal conscription last I knew and they don't seem to give a hoot about bombing everyone. I don't think mandatory military service makes them any less willing to go to war.