Heat pumps are extraordinarily common around here. Mine is 22 years old and has required one $300 repair in that time. There never was any tax break on it, it's just something that works well in this climate. Do I understand how it works? Not really.
Everything in my house is electric, and I have no utility bill other than electricity. No water bill since I have my own well and a septic system. Average monthly electric bill is $225.
Mine's a Bosch too. It does not have a heated drying option but I just open the door when it's done and the load dries quickly (and streak-free thanks to Jet-Dri). Stuff like inverted cups with concave bottoms hold water so I grab such things and pour the water into the sink before putting them back in the dishwasher to finish drying.
I am still constantly amazed by how dirty things can be when I put them in the dishwasher and still come out spotless. Spaghetti sauce is no problem.
Mom and dad didn't
buy a color TV until after I graduated HS in 1969, but we had an electric dishwasher since the mid-1950s. The first one was one of those dishwashers on wheels that had to be hooked up to the kitchen faucet. Dad was impossible, insisting that dishes be clean BEFORE going into the dishwasher. He never unlearned that, but I've been able to.
Here's an article explaining just how difficult it is to wash dishes by hand and match the efficiency of an automatic dishwasher. Plus, as someone already mentioned, your hands can't take the temperatures that an automatic dishwasher uses to clean, rinse and sterilize. I put my non-stick fry pans and non-stick George Foreman grill plates in the dishwasher without hesitation.
Built In Dishwashers vs. Hand Washing: Which is Greener? : TreeHugger