Congrats on your purchase. Definitely not redundant at all to have both! Why would you think it would be? They're not remotely close in focal length...and the 135 is simply one of the best lenses in history.
I've had my 135 for nearly 4 years. I paid $920 for it, brand new, from Abes Of Maine. It probably always will be my favorite lens. I think I have shot about 10,000 images with it. It autofocuses so fast, that I think it might be the world's fastest autofocusing lens. I could be wrong (obviously it's dependent on the body it's attached to...and no doubt the 70-200 2.8 ii fanboys will feel the need to hate on this.) If they introduce an IS version of the 135, I won't feel compelled to "upgrade" whatsoever...even if the IS sells for less money!!! That's how much I like the current one. If they introduce a 165 f/1.6 or something...that would be more like it. I still would be keeping the 135, though. It's just magic, and everything out of it looks like an art piece.
I don't own the 85 1.8, but just might in the future. I've tried the f/1.2L. Right now I have the Rokinon f/1.4, and it's fantastic. It's just a bit too old school and too manual, to be world class. Given the price, though...it's a world beater! It's extremely sharp to the corners, with just slightly less than ideal contrast and color. Certainly that gets fixed with no effort in post. It has almost no bokeh fringing or CA, even wide open...and possibly less vignetting wide open at f/1.4, than the 135 has at f/2...on my crop camera.
I may skim through some of my pics done with each and post them later, if this thread turns into show and tell.
Whether full frame or crop, you can never go wrong with Canon's lenses in the 85 to 135 range.