That book seems to be about women’s support of the Klan, rather than about the Klan’s support of women’s suffrage. Do you have another citation for your assertion?
I have read the book, though I admit that was a long time ago.
That case is made, in the book.
Here is another writer, making the SAME point, that Suffrage and Temperance were part of the “Knights in White Satin” agenda:
http://www.marshall.edu/etd/masters/kerbawy-kelli-2007-ma.pdf