Good news for you... it comes off with a little effort and no table disassembly... However, I find the process is far easier if you remove all the rods and take your time to do it right.
I have done this flawlessly with 3 of my tables; mainly by being very carefull not to gouge, scratch, or chemically damage the playfield. I very very carefully used a plastic putty knife to gently scrape and pry off the white strips. They will probably crack apart but who cares. Reluctantly I used a razor blade parallel to field for the tough spots being super careful to cut adhesive/strip and not formica playfield.
Once removed you will expose a very resilient combination of pop, beer, spit, vomit, mold, adhesive, and prima donna tears. I removed this gumbo with superlube lubricant and maybe a bit of goo gone. My advice here is to cover small sections liberally with super lube and wait some time to soak into the dried adhesive. It will make it a gummy like snot that can be worked off gently. Use the plastic putty knife and a light scraping to work the big stuff and shop towels to get the small snot off.
Once it is all removed, be sure to clean with alcohol 99 and formula 409 to remove any lubricant and dust then apply the new side strips with clean hands and some kind of plan to roll it on perfect so you don't mess it up. It's kind of a one shot deal or you will have stips that might peel off prematurely.
I chose the super-lube because it is something I had on hand. As synthetic lubricant it is very safe and intended for use on plastics and rubber it is not going to damage the playfield. fyi Silicone lube won't soften this glue. There is definitely better solvents or oils that will make short work of this but you gotta know what your choosing. The first time, I think I tried aerosol synthetic teflon spray or wd40, and because of a tiny bit of carrier/solvent in it worked very very well to loosen the glue. I have used the superlube the following times because that's all I had on hand, I knew it was safe, and it worked quite well.
superlube:
http://shop.foosball.com/fts-110-360.htmlclear side strips:
http://shop.foosball.com/fts-110-060.html