Is the present European Refugee Crisis comparable to flight from the Axis during WWII?

How does the present response to the European Refugee Crisis compare to the response to those fleeing Axis regimes in WWII? The comparison is of two very different situations. Think in terms of who was fleeing what.

 

Axis regimes during World War 2

Who: Well-educated, poor, middle and upper class Europeans who were fluent in one or more western languages; many were highly skilled professionals, academics or tradesmen. Many were wealthy.[1] Most were Jewish or Roman Catholic. Demographically, they were men, women, children and the elderly. 

What: Flight from the most highly developed nation in the world, Germany, then radiating outward to include flight from Italy, France, The Netherlands, Scandinavia, Poland and Eastern Europe to anywhere that would take them. Refugees gladly adopted the customs and social norms of those few countries that gave safe harbor.

Is the EU's Schengen treaty unique?

Yes, there are other Schengen-type treaties around the world? Some Schengen-like treaties in the western hemisphere.

North America 

At various times, the United States and Canada have enjoyed a functional Schengen treaty arrangement, even though it was not formalized. US citizens did not require a passport or visa, nor pay any fee to travel to or from Canada. The same was true for Canadian citizens traveling to the US. This protocol was observed for automobile and passenger rail transit, although I am uncertain about air travel.

 
I was an enthusiastic novice international traveler in the 1990's. I was eager to get as many stamps in my passport, from as many different countries as possible. On a drive from Seattle to Vancouver, I had my passport with me, although it wasn't necessary. The Canadian immigration control officer was amused at my request for a stamp of entry, and eventually dug one out.