Jetta - Volkswagen :: 2011 - Stalling Typically When Slowing Down

We purchased our 2011 Jetta SE Automatic brand new - first people to drive it - and have had virtually no problems up until this summer. The car has stalled on us dozens of times now and been to two different dealerships for service a handful of times and no one knows what the problem is. We found that the car typically stalls when we're slowing down; however, it recently stalled when we were in Park. When it stalls, the steering wheel locks up, the breaks are nearly impossible to push and everything seems to shut down except the radio. We're virtually a sitting duck for other cars.

When this happens, we're able to put the car back in park, turn it off and back on and drive fine for a while. It seems to be happening more frequently but the dealership hasn't been able to replicate the issue - there are no codes left on the computer and they've literally taken the car apart and can't find anything wrong. They've even 'driven' it for 200 miles and still, nothing. Initially we were told it was bad gas, then we were told it was an operating system update. Now they're trying to tell us that it's our driving style but multiple people in my family have driven the car with the same effect - stalling spontaneously while slowing down, stopping or trying to break.

We've also noticed skipping or slipping between gears when we're at higher speeds but I'm not sure if that's related. It almost feels like your foot falls off the accelerator or slips while you're driving but instead you're actually applying constant pressure.