I'll just chime in to say this. About a decade back I visited Israel for two weeks with the rest of my family. One of the most memorable parts of the trip was visiting the West Bank. I'm an empathetic person, and seeing the way the modern state of Israel treated the Palestinians people made me sad, more than anything. A day or two after we saw the settlements encroaching on the West Bank.
That trip and the time we spent there seeing things with my own eyes changed my outlook. Many other people I've spoken to who have visited the Palestinian Territories feel the same way. Some of my other friends who have done the "birthright" trips never got a chance to see what we saw and had a very different experience of spending time in the region.
What happened was/is horrible, and the nation of Israel is well within its rights to respond harshly. That being said, it breaks my heart to see bomb after bomb hit Gaza City and trash the place. More than a million people live there, and look what is happening to it.
I think the situation is very complicated and that it is ok to feel conflicted. I myself am a non-practicing Jew.