late edit: DISCLAIMER: The pictured map is not actually a representation of the territories before colonisation. It's a hypothetical map of what countries there might have been had the continent not been colonised, thus all the names and borders are fictional and have never existed.
For good actual maps, check out native-land.ca.
This map is nonsense and implies rigid European borders. It ignored the hundreds of independent tribes on the continent. Comparing illegal immigration with colonizing is stupid too. Also the map implies native people never conquered each other or colonized others land which to be clear, is not justifying later European colonization, but we shouldn't play into the noble savage trope.
Yes, colonizing is much, much worse than "illegal immigration," which is a term conceived by colonists.