It may be petty, but language being important, I feel a need to correct the course of a slight misnomer. The terms "political jiu-jitsu" or occasionally "political judo" keep getting thrown around (no pun intended) as a means of using one's opponent's strengths against them. I think the term that is more accurate would be "political aikido." Aikido is the martial art which uses one's opponent's strength and momentum against them. Jiu-jitsu allows a skilled practitioner to negate an opponent's strength through skill and technique. Judo is simply a sport form of jiu-jitsu that allowed for scoring and competition(a simple description, I know). Again, these seem like petty discrepancies but using them correctly allows for a richer lexicon with which to make subtle differentiations.
Let's examine some possibilities:
We will use Iraq as a starting point.
1. Political Jiu-Jitsu.
A basic strategy in jiu-jitsu is to endure your opponent's attack while frustrating any move they might do to win. For example, they are on top of you but you maintain them in your guard and wait until they make a mistake and then you go for a quick submission or sweep.
As this would apply to Iraq you would keep saying things such as, "Yes, we all agree that Hussein was terrible. Yes, our military is doing a heroic job. BAM! You blew it on Abu Ghraib. Yes, we must see this through. Yes, we can win this. BAM! Bush is responsible for Haditha.
Of course, as in jiu-jitsu, when you go for the submission and you don't complete it, you have used energy and lost position and you might overplay your hand. It is all about the scramble.
2. Political Judo
It's all about the points. You can throw your guy he can throw you, just make sure you've got the points at the end of the match. That or you could go for the "ippon" the one big move that gives the whole match to you. But it is not a submission. It is just that the judges go for you.
As for Iraq, political judo is essentially what happens on Sunday talk shows every week. Scoring points.
3. Political Aikido
Your opponent wants to punch you. You move along with them making them put all of their energy in that direction, overextending their body as you grab their arm and pivot putting them on the ground with you standing over them controlling their arm.
Yes our military did a wonderful job in winning the war in Iraq. That war has been over for years now and there is no reason for our servicemen and women to be in an occupation and rebuilding of a country which is a job for governments and NGOs. Since we won along time ago why don't we redeploy our military in more useful places?
As for martial arts, I prefer jiu-jitsu. As for political arguments I think aikido is the term, and the strategy that will prove most effective.