once you get the clamps off, in thoery, it should pull apart with no cutting required. Of course, they may be rusted together, that's where the BFH comes in. Soak the joints and clamp nuts with penetrating oil about 15 min. before you start, it may make things easier. It looks to me like you could bend/push/pull/whack the front mount to work with the glass pack, and the rear mount is attached to the tailpipe, not the muffler, so your rear is set.
I like your attitude. Give it a try. We're only afraid of the unknown.