Interesting that you imply that Left would like less war.
It seems to me that the progressives main thing is to tell and enforce how others should live and behave, that is the core of the left, the other ideas are just branches. Evidence is the congress votes in USA by Left to start wars and votes by Taxed Enough Already (TEA) to defund the wars.
If you are anti war, I invite you to check out the Right, Libertarian POV.