As I said, one can probably make those connections between the different wars. And why just start with WWI? One can probably go back to the beginning of time and make those connections. If that is so, then one can conclude that it is the natural state of mankind. I don't think that a few wannabe hippy types are going to be very successful attempting to change the very essence of mankind anytime in the near future.
I would agree with you that we are not accomplishing much currently. And, I believe that is because we are fighting with the gloves on and one hand tied behind our backs (i.e. rules imposed upon nation-states by other nation-states) against an enemy with no such restrictions, not to mention having to fight those within our own camp. Yes, that takes resources away from the effort as well. Maybe it's time the gloves come off. They did during WWII (i.e. Dresden, Hiroshima, Nagasaki, Tokyo firebombing, British nighttime bombing, etc.).
Insofar as your second paragraph is concerned, hasn’t compromise already been attempted? Hasn’t Israel made efforts to try and resolve the issues? Granted, they are not perfect by any means, but it does appear to me that they have tried. Yet, they continue to get bombed, rocketed, kidnapped, etc. Insofar as Iraq is concerned, just how many UN resolutions does it take? Remember, playing the waiting game benefits the Axis of Evil and weakens our coalition. Currently, we are stronger than they are. Waiting allows them to gain parity, if not superiority.
War is UGLY. It is man at his very worst and his very best all at the same time. No one relishes it, most especially the soldier. And I can tell you, nothing turns the stomach of a soldier more than seeing an innocent bystander get killed due to his actions or the actions of his adversary. I’d be willing to bet you that the Israeli soldiers feel that way regardless of their religion. I doubt seriously that Hezbolah and Hamas feel the same way.
Like others, I too would rather live in peace. But, if anyone brings war to my doorstep, I’ll give them all the war they can stomach and then I’ll reload.

At any rate, this is it for me. I usually stay out of these discussions because I have very strong feelings in this area.