Does the lack of respect for rights among some Muslims immigrants justify banning all Muslim immigrants?

Sometimes, I hear people say that immigrants from Muslim countries are so illiberal (in the classical sense) that they ought to banned from entering the United States and Western Europe. The anti-immigrationists say that when people from Muslim countries are allowed to reside in the West, such immigrants remain committed to political Islam, honor-kill their own daughters, rape native-born women, and plot to impose sharia law on the West through "stealth jihad." Is the illiberalism of some (or even many) Muslim immigrants grounds for limiting immigration from Muslim countries? What is the proper response to this problem?