First of all, politicians are perfectly happy with this little war as it is. Secondly, there is no way to know who is and who isn't a radical Islamist (see Tsarnaev brothers who sailed through immigration interviews.) Thirdly, the very process of killing radical Islamists will radicalize a new batch of Islamists, and you have to kill them too... until you run out of Islamists, of course. That is about 1.5 billion people. In reality, though, Islamists will go into hiding way before that - and then you will have a guerilla war on your hands. And fourthly, Islamists have more soldiers than the opposition - so in case of an all-out war it remains to be seen who inherits the ashes of Earth.
Islam is extremely resilient and self-renewing, and there are several reasons to that. The core reason is that it is targeting the least intellectually challenged group of humans. (They are kept that way intentionally.) The burden of Islam is hard on believers - they have to pray five times per day using a compass; they have to fast for a month during daytime (but not at night - imagine health impact of that practice.) They have to pay zakat to the Mullahs. They are denied proper companionship of women, since Quran declares them to be barely sentient - which makes unmarried men just as insane as unmarried women, since that's not a normal human behavior. They are denied certain foods and alcohol, which makes it a forbidden fruit. They are required to wear certain clothes and have to act according to edicts of Mullahs. They cannot read many books, they cannot see many paintings; Muslim art is limited to patterns and weaves. They are harshly punished for any violation. In essence, they are living in a religious dictatorship of their Quran. This conditions them to become unthinking robots in hands of their Mullahs and Imams. More than a billion humans are thus infected. Short of genocide of proportions that Earth hasn't seen yet, the only solution is a new Moses and another 40 years (or is it 80 years now, with modern medicine?) in the desert, until the infected people die out. This cannot be done without a convenient planet that is a good number of light years away. As we don't have such a planet handy, the only future that anyone can see is war with Islam - or a peaceful surrender to it, which is far more likely. The politicians, being professional triangulators, will easily repaint themselves, accept religious titles, and sell us all down the river. This is already happening in UK.
Sounds like an overtime opportunity.
Analysis BUMP! Thanks, Greysard.