in addition to the above suggestions, I added a 2nd friction sway bar from Harbor Freight for $40 to my setup. It worked really well for me.
I have my Road Glide Ultra, about same weight as your Electra Glide, on the left side of my garage and that makes no difference on mine.
Also, are you using a weight distribution hitch? If so, can you adjust it to move less weight off the hitch?
Good luck, I know the sway can be very annoying and even dangerous.
Mark and Joanne
2014 Fun Finder XT 276
2015 Ford F150 Lariat 3.5 Ecoboost 4X4 SCrew Max Tow
2011 Harley Road Glide Ultra