To be honest, we are all kinda out on a leap of faith on this one because the 2nd gen Compass is all new. Nobody can comment real specifically on reliability yet, very few of us even have more than 10k miles on ours.
Now, the handful of people who have had problems are very vocal (as you would expect) and their stories can be disheartening but they truly are just a handful when you consider they are averaging almost 10,000 Compasses being sold per month right now. Thousands upon thousands of people are happily driving theirs around without issue.
Now for Honda v. FCA; We are Honda fans in our household as well. We have a 2016 Civic EX-T and I used to have a CRZ before that. Great little commuter cars. My mother has a 2016 CR-V and she really likes it, but she also really likes my Compass. She would be a Compass convert if it were not for the fact that the CR-V gets slightly better gas mileage and the Compass has no side-view camera. She is crazy about her side-view camera, won't give it up. Now that the new CR-Vs don't come with the side camera I'm not sure what she will do, drive her 2016 into the ground I guess.
Although some people have experienced glitches with the Uconnect system, myself included, I would say even with the occasional glitch its still simply done better than Honda's infotainment. My only recurring glitch in the Compass is that sometimes the heated steering wheel doesn't turn off the first time I press the virtual button on the screen. No big whoop, may be fixed by an update at some point. But going back and forth between our Civic and our Compass, the Compass is laid out much, much better. Our Civic has no volume knob, which is about the dumbest thing they ever thought of. Our Civic also has no option to turn the screen off for long periods of night driving, but our Jeep does. The Civic requires you to manipulate almost all of the heating and cooling controls through the screen, meaning you have to switch away from navigation or music or whatever you may be currently using the screen for to bump the fan up or down a notch. Lame! In the Compass you have it both ways, there are physical controls or digital controls if you prefer. 99% of the time I prefer the physical controls. There is a year of difference, but the screen quality in the Jeep Uconnect is leaps and bounds better than our Civic as well, and better from what I can see than my mother's CRV which is similar. The steering wheel controls are also better on the Jeep.
Overall I find the Compass to be notably superior in most respects. The Compass is everything I had hoped and wished the Honda HRV would be back when they announced it. When the specs came out on the HRV it was clear it was one step too car-like for me. I want the technology and creature comforts and smoothness but I need to be able to do a bit of towing and hauling, and although I can get by on basic AWD I would prefer a more comprehensive and advanced system like the Compass has since I live out in the woods and like to go places when really bad weather hits, and I want to be able to adventure freely.
All in all, hard to go wrong either way. If gas mileage is a deal breaker you will find the CR-V does notably better but there is so much more capability in the Compass by way of towing capacity and adventuring. Personally I prefer the slightly smaller size of the Compass as well. I wanted something more HRV-sized with the capabilities and Honda did not provide it but Jeep did.