I'm not sure I understand your comment about us exporting our potential troublemakers?
For an extremely long time the British government would round up all the people they perceived as trouble-makers and low-lifes and ship them to places like Barbados or Australia. They figured they could deport their criminal class and make England a better place.
Obviously it didn't work or England wouldn't have so many soccer hooligans, or maybe it did, since Barbados has ten times the homicide rate of the UK.
Before the British settled Australia at least 50,000 convicts were sent to America (mainly to Maryland and Virginia).