Why are we talking about Side A and Side B at all? Each of those is a vast overgeneralization. Israelis are diverse, as are Palestinians/Gazans. It's easy to make broad generalizations until you actually meet people on both sides and understand their human context.
Have you ever met a Gazan (outside of any military situation, if you're Israeli and had to serve)? If not, check this out since it may be the closest you can get... I don't think these people are ones you'd have any reason to dislike or want to punish: