"I take issue with the British government forcing them into such desperate measures in the first place."

Well you may take issue with the British Government but you would be more accurate blaming American foreign policy and their illegal wars in Africa and the Middle east. A close second is the coalition that has supported them in their misadventures. Where have the bulk of the refugees come from and who created them? The western supported Arab Spring created swathes of refugees from Syria. It was a major tourist resort when under the control of Assad and any political emigrants comprised a mere handful. You are not another anglophobe are you?
France still has troops on the ground in Syria, creating further refugees. Why is your outrage not directed to Macron? or the rest of the participants?
    Australia (Operation Okra)
    Bahrain.
    Belgium.
    Canada (Operation Impact § In Syria – pulling out soon)
    France (Opération Chammal)
    Germany (Operation Counter Daesh)
    Netherlands on 29 January 2016

Syria — 6.3 million refugees
Afghanistan — 2.6 million refugees
South Sudan — 2.4 million refugees
Somalia — 986,400 refugees

Not forgetting 22.4 million in need of aid in the Yemen and not forgetting the destruction in Libya and Iraq to support American hegemony.