As for the "sudden influx," I think it's important to recognize what the real problem is. In Europe, Muslim immigrants seem to rape and commit other crimes a lot more than natives.
http://www.dailymail.co.uk/news/article-3317978/Torn-apart-o...
I say "seem to" because stats on this are notoriously hard to come by. For example, Sweden censors that data in their crime statistics. Similarly, various police agencies seem to ignore crimes in order to avoid seeming racist.
https://en.wikipedia.org/wiki/Rotherham_child_sexual_exploit...
https://www.washingtonpost.com/news/worldviews/wp/2016/01/12...
https://www.rt.com/news/328465-police-500-assaults-cologne/
I suspect if Europe imported more peaceful immigrants, or even had a credible plan to handle this issue, the sudden influx would be less of a problem.
NYC and London have faced a sudden influx of foreigners over the past 15 years but no one really cares. Why worry about some Indian or Russian working at a bank, doing yoga after work and then going home?