I do not remove the existing treads and risers when overlaying with hardwood flooring. I trim the extended nosing off of the rough tread and overlay both tread and riser. For the overlay riser material, you can use the flooring, a hardwood plywood that matches or paint grade wood if you plan on having painted risers. As far as the existing wood piece that the balusters are installed into, sometimes those can be made to work with a little ingenuity. Personally, I try not to dismantle handrails systems to install flooring unless there is no other way. Oftentimes, that existing baluster "plate" can be made to work with a molding or by butting to it. Read this:
http://www.hardwoodinstaller.com/hardwo ... stairs.htm