Completely halt all muslim immigration into my USA.
Find a better way of vetting them.
Oh, and every red blooded citizen needs to own a gun.
None should be allowed in. They are another religion which says everyone should believe like them. They are not compatible with the US. Forget vetting.
The miracle that is our system of government (at least as originally designed) can only continue to function if our country is populated by people who are self-restrained by an external moral code, i.e. given by God. If the people instead choose to define morality according to their shifting whims, the unprecedented freedom our nation provides will not bring freedom but rather destruction as the morally unrestrained use it to give license to their baser instincts. We can tolerate a certain percentage of the population that doesn't subscribe to the Judeo/Christian ethos, but once that number becomes large enough (as is happening today for a variety of reasons), America is doomed absent a large-scale return to Biblical principles.
And Muslims are even less compatible with America than the simply immoral or corrupt. Their "faith" is founded upon a system of theocratic government that is antithetical to our sense of freedom. The fact that they also feel compelled by Islam to kill us would seem to be a clear disqualifier as well. There's no "tolerant" way out of this, absent a universal reformation of Islam. Those not yet here must be kept out, period (not just until they can be "vetted"), and those already here must be tightly controlled and monitored. Even if we were to do those two things, we would still be in perpetual danger from the barbarians we have so foolishly welcomed into our nation.