If you want to get out of a rut, unweight your bike. Kinda like a bunnyhop, but you don't really need to get both tires off the ground, just get your front wheel up a bit and get your body weight off the bike as you cross the lip created by the car tire.

At low speed you can do it as a two step process. Lift your front wheel out of the rut, then lean forward and unweight your rear wheel as you ease it out of the rut. I guess the first procedure is kinda like this but done more quickly so it feels like one motion.

I would run about 30 front and 35 back with the 2.1" version of those tires, I weigh 145 or so. Probably about the same for the 1.9s, a little more for the 700c I imagine.