Where? This isn't Syria, this is a country that covers half a continent. Canada would be overwhelmed, and Mexico is too far away for most. Most likely refugees are fleeing across the Upper Plains to the West Coast, else somewhere else where there's less fighting. Surprisingly few refugees, many many many IDPs.
On that note, Canada would be a more familiar place for refugees as they'd be settling amongst fellow Anglophones.Don't forget about sea and air travel, as places like Great Britain, France, Australia and New Zealand are just as viable