I'm not sure it would completely change the outcomes of elections, but it would certainly make it more difficult for some.
A good bit of Texas would go from red to blue. Huge landmasses of CA and NY and IL would go from blue to red.
Overall, I believe it would be currently (huge thing) a blessing for conservatism. Regardless of who it favors, I'd be in favor of this as this seems to have been the intention from the beginning, and removes a lot of the arguments against "one person, one vote" concern.
Having all 50 go to this, and removing the 17th Amendment, would certainly be a good thing for the nation.