It's inescapably a political issue, but my point wasn't based on politics, it was based on the complexity and duration of the situation. Highlighting that the time scales involved to solve these issues are longer than it appears you are giving credence to.
You could point to Germany as an example of a country that's dealt fairly well with an influx of refugees from 2015, at 890,000 refugee applications, but it takes time to process them all, it's far from a smooth transition[0], plus there's a human toll associated with mass migration that falls along a purely subjective 'scale of acceptability':
More than 5,000 asylum seekers died in sea crossings, either by drowning, fuel inhalation or suffocation in overcrowded and unseaworthy boats.[1]
The issues of integration into the community, work, language barriers, and other cultural differences will mean there will be a limit at which a population will tolerate an influx of refugees.
There will also be a limit to what governments can afford to provide to refugees finding their feet. Elections are already won or lost on refugee and immigration policy, with the 'more restrictive' policies generally being more popular amongst voters.
These things aren't new, but the scale has the strong potential to be much greater.
[0]: https://www.abc.net.au/news/2016-09-03/germanys-open-door-re...
[1]: https://www.independent.co.uk/news/world/europe/refugee-cris...