Yeah, and this is something I think Trump should be very good at. The business end of our federal government is pretty messed up. Early in my career I worked for a global accounting firm, and we audited a few federal agencies. The amount of mismanagement and time wasting was astounding. Granted, I know it goes on in the public sector too, but the system of employment within the federal government only encourages waste. I have multiple stories I could tell highlighting how poorly run they are. In the case you cited above, Trump did what any business person would (and should) do.
But this highlights an interesting problem, if you're really concerned about what goes on in US politics. Trump has the legal power to sign the executive order. He's not outside the bounds of the law. The executive branch of our gov't is charged with enforcing the law. The legislative branch makes the laws (Senate and House of Rep). So if the legislature includes provisions in their laws to allow the executive branch to make some decisions (i.e. make policy, or law)... well then the president can do exactly what he just did. With all the uproar from the media about all the EOs Trump has signed in the last few weeks, few have highlighted the fact that he's doing the same thing Obama did 8 years ago, which was the same thing Bush did before that, which is the same thing Clinton did before him... do you see the pattern? Trump isn't going wild with the EOs, in fact many have been almost exactly the same as all the previous presidents I just mentioned. But worldwide media has their own agenda, and it's no longer just reporting what happened.
On another note, have you read the executive order (or anyone on here for that matter)? Has anyone stepped away from the emotions that have been stirred up by the media to think about the what/why? Trump thinks our vetting system is broken, and he wants to make sure it's sound before allowing refugees in from 7 specific nations. Nations that Obama already labeled as problematic. And while they are all predominately muslim nations, he didn't specifically ban muslims from entering the country, nor did he ban all predominantly muslim nations, and he also didn't only exclude those where he has business relationships. The ban is temporary, not permanent. So let's not pretend this is about race/religion, even though that's what Trump haters are selling (it's a bit paradoxical that you can hate Trump and then say #NOH8). It's about the fact that those countries have significant problems and he doesn't feel like we're doing the best job of protecting our own country's citizens. Whether they can be believed or not, I've read that 15% of Syrian refugees believe ISIS is good, and 20% believe ISIS was created by the US. Can you see why there's room to be worried? I've read about the crime rates caused by refugees in Europe since the flood gates opened. Who exactly has been helped? Are European citizens or the victims of those crimes better off? Are the now (hopefully) incarcerated criminal refugees better off? Or did a bunch of politicians and large media firms with no personal skin in the game just play us all for fools?
Having said that, I don't believe the US system is broken. The only evidence I know of where an individual immigrated from one of those 7 countries that led to a terrorist incident was in San Bernardino, and from what I recall her visa application wasn't fully processed before they issued it (see above re: the inefficiency of our federal government... do you think the person/people working that one got fired?).
If we really want to make sure refugees from foreign countries adopt US values, that's up to us as individuals to get involved and help them integrate. And that doesn't just mean giving money, it means time being face to face with people. But we've become too used to relying on the government to do those things for us. There are case workers for that right? I mean, when do I have the time to go help a fellow man? I'd rather just pay more in taxes so the government can make someone else do that instead. Are we really engaging with our neighbors to make the our neighborhood/city/state/country a better place? For too long we've been told that the people in Washington can do it better, that they can do it for us. That message needs to stop, and we as people have to step up.