‘Pretty’ sure somebody on here has already done exactly this, hopefully they will chime in-Why don't you just remove it and see what is sounds like? There is a clamp right near the axle. Looks like that back section (that mainly consists of the muffler) would be very easy to remove.
Worry about finding a muffler delete extension, after you decide if you like the sound.
Changes from the rear axle and back will not affect the emissions. A muffler now a days barely does anything on a modern diesel because of all the emissions control devices. Remember back in the day when the exhaust would simply come out through the header, down the collector and pipe, and then through a muffler and out? With lots modern vehicles, resonators have to be added to bring back the sound to the exhaust.My 3.0L is so quiet I can hardly tell its a diesel. You removed the exhaust from the cat back and it still sounds the same? Will it still pass emissions in the future? Thanks.