More than half of the governors in the United States support refusing entry of Syrian refugees into the United States. These are people who are desperate to escape their war torn country and the very real threat of ISIS. GOP members of Congress and Presidential candidates are calling for similar restrictions. The Washington Post puts it pretty damn well:

It is undeniable that the huge numbers of refugees and migrants reaching Europe do represent some kind of security threat — anything involving that many people arriving in such chaotic situations would. However, it is not only deeply unfair to paint all of those arriving with the same brush — it is also self-defeating.
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The very same refugees entering Europe are often the very same civilians who face the indiscriminate violence and cruel injustice in lands controlled by the Islamic State in Iraq and Syria (though, it should be noted, many in Syria are also threatened by the brutal actions of the Syrian government). Globally, studies have shown that Muslims tend to make up the largest proportion of terror victims, with countries such as Syria and Iraq registering the highest toll
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What seems almost certain is that the Islamic State wants you to equate refugees with terrorists. In turn, it wants refugees to equate the West with prejudice against Muslims and foreigners

Terrorists are cowards and assholes who indiscriminately punish anyone who is not like them. We do not defeat them by being cowards and assholes ourselves, but by helping these refugees in their time of need and bringing them to a place where they can live in peace without threat of violence.