For my part, I don't have a problem with having visa policies in place designed to keep terrorists out of the country. I just want to see a reasonable balance between keeping potential threats out without closing the gates on people who genuinely aren't threats and treating foreigners who are here for legitimate purposes like criminals.
To not have any visa policies at all leaves us vulnerable, and going to the other extreme could be seen as a demonstration of paranoia - and terrorists who want to intimidate as well as destroy could see it as a victory of sorts (and according to the article, there are other consequences as well). So a reasonable balance between the two is needed.
And also, naive as it may sound, I'm one of those people that wants to see the guilty punished without the innocents getting punished as well.