“Your position will inevitably result in Big Government™ abroad and at home.”
Ignoring the threat won’t make it go away. The radical islamists in places like Iran will want to kill us regardless of what we do. And historically there have been two key roles for government, Rule of Law and National Defense.
You're ignoring the root of this problem.
The only reason these "radical islamists" have any capability to do dumb things is because the Western establishment (including the U.S., which stupidly allowed itself to get entangled in this miess) keeps feeding them money (foreign aid, oil exports) and weapons in a feeble attempt to bring them into the sphere of Western influence.
Of course, any "fixes" from the Western establishment usually compound existing problems - as is typical of Big Government™ "solutions."
Nation building is NOT national defense, and starting illegal wars of aggression completely violates any concept of rule of law.