I'm turning margins off since that would be too difficult, but NM has voted the same way as the P.V. since its founding except for 1976. This is what the elections would look like if the P.V. was the same as N.M.'s.
1912:
1916:
WV+IN+MN flip from OTL
1920:
1924:
1928:
N.C.
1932:
Same as OTL 1936
1936:
N.C.
1940:
MI+IN+ME+CO flip from OTL
1944:
N.C.
1948:
Same as OTL 1936
1952:
TN flips from OTL
1956:
MO flips from OTL
1960:
CA flips from OTL
1964:
ID+FL flips from OTL
1968:
1972:
N.C.
1976 (No President Jimmy Carter):
1980:
Every state except for MA, RI & DC vote Rep (I assume Teddy Kennedy's the frontrunner).
1984:
50-state landslide (barring DC)
1988:
IL+PA+MD flip from OTL
1992: (End of 24-year consecutive Republican governance)
NC+AZ+FL flip from OTL.
1996:
KY flips from OTL.
2000:
NM+WI+IA+OR flip. OR becomes the next FL being decided by <0.01%.
2004:
IA+NM flip from OTL.
2008:
MT+MO+GA flip.
2012:
NC flips from OTL.
2016: (No President Trump/first female president)
2020: Hillary wins re-election by a landslide in a Clinton vs. Trump rematch. TX, FL & NC flip from OTL. Trump calls the election "rigged" and compares Hillary to Maduro. 1/6 still happens. Clinton's approval rating jumps from 51%-70% almost overnight as a result of her response.
Trivia: IL/PA have voted the same way with the exception of 1912. I don't know about any other patterns, but if anyone else notices any, feel free to let me know.