I don't understand; you line up the histograms at what point? Along their entire length? Is that even possible? At any point where the histograms truly coincide the resulting image color is grey. That is the definition of neutral grey, R=G=B. If you are photographing nothing but grey cards this method might work admirably, despite being slow and laborious, but most of us shoot multicolored worlds and frequently there is no single neutral grey object in the frame. And even if there is a grey target available, how do you determine exactly the right spot on the histogram? The horizontal axis of a histogram represents tonal levels; for any given value there will be hundreds of thousands of pixels with one or more of their channels at that value, distributed all over the frame, not only on a grey object - if indeed there is one.
The method is slow and laborious because any decent editor will give you the automatic tool to do WB with a single click. Just indicate an area in the photo that should be neutral grey and the software will calculate how much the histograms should be shifted so that at that precise spot , in the image and on a theoretical histogram of only that spot, they will coincide, but not elsewhere.
If your monitor is calibrated and reliable, you would be better advised to forget the histogram and adjust WB until it looks visually pleasing to you.