For Anchorage, you might be fine with just the engine block heater. Invest in a quality extension cord that won't crack at -40F.
My dad was a police officer in Fairbanks, and I always thought the Crown Vic's were a ridiculous choice. And then of course they switched to Chargerscoloradokevin wrote: I drove a rear wheel drive Crown Victoria full-time at work in Denver winters for over a decade before we moved to something better. We never had snow tires on those cars, and there was only one blizzard I can think of where we simply couldn't get through some of the snow in that vehicle (and that vehicle is about the worst you could think of for snow driving).