Just my 2 cents here, but do a search on this forum (or any other vehicle forum) about dealers messing up stuff they should know well. For example, a cracked oil housing after an oil change is high on the list! And that's a job they do every day. Do you want to take a chance that your dealer never has done this kind of work before and will get it right? Also, when was the last time you priced out services at a dealer vs a local reputable shop? I'll bet the shop beats the dealer most of the time.
On the other hand, there are two distinct advantages to using a Jeep dealer for the install. 1) if they break something they have access to virtually everything to fix it right (backorders notwithstanding), and 2) any work they do shouldn't void any part of your warranty. Be sure to get that last point clarified. Since it's aftermarket, the dealer you have the work done at might honor your warranty but another dealer may not.
Personally, I'd use someone that has done this a time or two over a Jeep dealer that probably never heard the word "baseplate".