Yes, that's incorrect.

The gold standard for the battle is the book, "October 25th and the Battle of Mine Creek" by Lumir F. Buresh. the Lowell Press 1977.

There hasn't been a book, or any research that comes remotely close to it, since, in terms of this battle.

Union units were:

1st MSM Cav
4th MSM Cav
7th MSM Cav

1st Brigade Commanded by John Philips

3rd Iowa Cav
4th Iowa Cav
7th Indiana Cav - 4th Missouri Cav
10th Missouri Cav

4th Brigade Commanded by Lt Col Benteen

Another good source that provides a map with units placement is the Civil War.org site.

http://www.civilwar.org/battlefields/minecreek/maps/minecreekmap.html