Problem is what do we define "peaceful lives". You and I think it just means being able to go about our daily lives and just that, but Israelis have been drowning in propaganda. It's like saying "Americans just want peaceful lives right after 9/11/" Sure, but what they think will get them their peaceful lives is an armed invasion and genocide. It was a popular enough view to get Bush reelected.
Your social media feed wants you to think that, but the reality is that these protesters are the far right ultra orthodox types that vote for parties that are the furthest right of the governing coalition. Yay for proportional representation where you can form the government by making a coalition with the furthest right parties, right?