Your best point, however, is the immigration. We should shut the door to immigrants from countries that produce suicide bombers.
Excluding all muslims from visiting the U.S. for any reason would save us trllions$ in security costs as well as psychiatric costs. The same goes for expelling all muslim non-residents, students, and even "naturalized" muslims who can be demonstrated to be significantly engaged in spreading muslim propaganda, or funding foreign muslim causes; In other words, they obtained citizenship fraudulently.
You realize, don't you, that you might not get 100% of your agenda accepted?