You are right, that left "column" is for icons. To remove it you could do something like this:
.rmVertical .rmItem .rmLink
So all it does is remove the background image and replace it with a white background color.
Also, if you want to remove the space caused by the icon spot, you can add this as well:
.rmVertical .rmItem .rmLink .rmText
The default padding-left is 26px, so I just reduced it to 5px.
I hope that helps.