To make a cycling analogy IMO:
Stability trainers with stiff insole: Puncture proof commuter tyres
Neutral flats: Racing slick
Less input/ground feel for the foot. There's a theory that more cushioning means you end up slamming your feet in to the ground as your brains is looking for input/feedback from the ground.
I've that found middle ground works well for me in the mini/maximalist debate (low cushion - high drop). In summers I usually will do my strides barefoot.
The fasttwitch 9's have the same drop as the vongo's (4mm). I'd give the fast twitch a go if you have the react infinity and start by just using them for speedwork/some shorter runs.
For me cycling + sitting down for most of the day leads to pretty tight hips and is usually the cause of any pain or imbalances rather than the shoe.
Check out this physios youtube channel, he also has videos with exercises for overpronation.