Did all this arise because multiple smaller towns with their own survey grids got absorbed into the city at some point, or did the different alignments happen within an already-extant Minneapolis?
It's important to remember that Minneapolis is actually the merging of two cities, Minneapolis and St. Anthony. St. Anthony is everything east of the river (so the NE and SE quadrants). At one point in time St. Anthony was larger than Minneapolis. There was a large competition between the two cities because of their flour mills, Pillsbury on the St. Anthony side, and Washburn-Crosby (modern day General Mills) on the…
https://en.wikipedia.org/wiki/Richfield,_Minnesota#/media/Fi...
Minneapolis extended down to 62nd street in 3 successive annexations.
Though, this had a pretty minor effect on the streets as they were already continuous.