A just war?
I don't think so.
By calling it a just war you are invoking an implicit absolute morality that you assume is shared by all others. Fortunately for the rest of the world this is not the case.
Now if you can define a suitable absolute morality that is acceptable to all and if you can point to evidence of the war being consistent with that moral code , then you might be on firmer ground. Of course the tough bit is defining a absolute moral code (what is its authority? What is its provenance, God? Jeanne Kirkpatrick? Howard Stern?) let alone an absolute moral code that is universally acceptable.
(note: most absolute and universal moral codes include pronouncements on the sanctity of human life)
Calling it a just war (or an unjust war) without defining your terms is merely indicating your approval (or otherwise) of it. And, by now, we know where we stand anyway.