Until very recently the UK tried its best to maintain the attitude that (phew) any problem in this matter was a foreign issue which the UK need not concern itself with. Then as hundreds of people were drowning pretty much on a weekly basis, Greece, Italy and Spain had an influx of hundreds of thousands (who made it across) annually, the "World Power" (as in participant in recent adventures abroad) was embarrassed into a gesture. As part of international FRONTEX border monitoring, for months even lowly Iceland (population 330,000 and no military) had been monitoring chunks of the Mediterranean and saving thousands of lives. The UK actually assigned a vessel to the problem, albeit in a minimalist way. The juxtaposition of "democratising" and "peacemaking" in Afghanistan, Iraq and Libya with inaction regarding mass drowning became too difficult to maintain.
Now it seems the UK is to blame France, France will then blame Italy and so on. People have been unofficially and even covertly crossing both land and sea borders for ages, including during both World Wars. Modern transportation equipment and routes have changed the character of the exercise and modern surveillance and media have made it more obvious. The numbers trying to cross unofficially/illegally from France to the UK is tiny compared to the numbers ignoring the UK altogether.
Several European countries have agreed to annually take in at least a certain minimum number of refugees as a proportion of the population of each country in question. Sweden and Germany already far exceed this criterion. So far as I know, the agreed quota formula would mean the UK should take in at least 5000 per year but apparently there is no sign of that being considered by the UK authorities - again, noticed by others and quite possibly resented.
The UK clearly wants to be taken seriously as a "world class leader and power" and also as a noble, sensible and balanced nation. I admire an aim toward the latter and understand the pull of the former. However, to outside observers the UK (not the only ones, it has to be said) looks like it feels it deserves to maintain a privileged pick-and-choose approach when it comes to pulling/imposing their weight/will among the world community.
Personally, I don't understand how the initiative of the military adventures were justifiable interventions while taking part, including leading, in finding a solution to a major non-military crisis is everyone else's problem not the UK's. Yes, the trauma of switching from running colonies to losing them all is a game changer, but surely one day the mental adjustment from dictating to co-operating needs to be made - and, when it seems to suit, constantly blaming others for everything is not the way to prove superiority.