You're going to get a wide array of responses here, but here's my take as a previous owner of an AWD R/T and someone who also lives in the Northeast.
First, it depends how much snow you usually get in your area, and if you really need to drive in it.
Here in PA I'd say we average maybe 3 decent snow storms a year. And by that I mean where my rear drive 392 won't cut it. We get a lot of snow at times, but the main roads are usually clear within a couple hours after snow has stopped falling.
Back on track, the AWD car with fresh all-seasons will be more than capable for most of your driving. If you have worn all season tires, you're no better than a rear drive car. Snow tires will give you extra traction where it matters, starting and stopping. They're definitely a plus. That being said, cost does come into play, they're pricey. I had Cooper Weathermaster 2's on my Jetta, not Charger, and they were good in the snow, but I HATED driving on them on dry pavement. They're noisy, and soft, you can almost hear them wearing down. They made the car handle like crap.
If you plan on doing a lot of driving on snow covered back roads, maybe you should seriously consider them.
One thing I'll add though, is even with the rear drive cars, clearance is your biggest obstacle. Even with snow tires and all-wheel drive, you still have less clearance than most SUVs and trucks. It's still easier for you to get stuck compared to an F150.
I drive my 392 year round with all seasons and do just fine. No, I won't be out on the freeway in 6" of snow, but it handles light snow just fine.