Ive said it multiple times here.
1.)Your president as well....
2.)For the reasons laid out here in the OP. And:
"Obama thinks declaring a war against "radical Islam" could backfire and alienate potential Muslim allies... But Obama's refusal to mention "radical Islam" isn't just, or even primarily, about political correctness. Instead, it's about strategy and the war of ideas — to effectively fight terrorism, Obama wants to win, or at least not fully alienate, "hearts and minds" in the Muslim world. And he thinks framing the conflict in religious terms would hurt that effort — a belief his predecessor George W. Bush had shared... Translation: Obama thinks a presidential declaration of a war on "radical Islam" will just make the US more enemies, and will hurt its effort to discredit terrorist ideologies. Hillary Clinton made a similar point in last November's Democratic debate, saying that framing the conflict as a war on radical Islam is "not particularly helpful to make the case" to "Muslim countries" (though, again, she appears to have dropped her objections to it, judging by her latest comments Monday morning). Other commentators are even more explicit, pointing out that there are a whole lot of Muslims out there in the world who could conceivably be characterized as "radical Islamists" — the term is not exactly rigorously defined — but who are uninterested in attacking the West, and could in fact be valuable allies against terrorists. These include ordinary citizens as well as more organized Islamist groups and current or previous governments in countries like Saudi Arabia and Egypt."
Why Republicans want Obama to denounce "radical Islam" — and why he won't do it - Vox