I'm also a big fan of the Tight Spots quiver; give them a look. I also like the idea of a sidebar/back bar stabilizer, but I didn't shoot that setup while hunting because I'm a sissy about excess weight. If you don't mind the weight, it might be worth trying.
I have two concerns with the quiver-stabilizer concept, but admittedly, I haven't tried it. One member noted that it might become a sail, and I share that concern. A traditional stabilizer like Bee Stinger doesn't catch the wind because there isn't anything to catch. My second concern is if you need to act quickly, you may not have time to move your quiver to the front of your bow, meaning you won't have that stabilization in a rapidly evolving hunting scenario. I like the idea of consistency and simplicity, and I feel like this product adds some additional complications to an already complicated activity. With all that said, if you like it, do it, as most of this stuff comes down to personal preference. I just would practice a lot with whatever you decide. Good luck!