I'd recommend doing it, and would also recommend keeping your itinerary flexible. Buy an annual National Park pass - there are some incredible places to see, and using a selection of parks as guideposts can create a more interesting routing than just jumping on the Interstate. You could spend a couple weeks in and around Utah if you wanted with places like Zion, Bryce, Canyonlands, Natural Bridge, etc. And enroute, you'll find more interesting places to visit, run privately or by the individual states.
We've done this a few times over the past several years (Midwest to West Coast). We like to drive, as we always travel with our dogs. A flexible itinerary is key to making it a relaxing trip. As an example, on our first trip we stopped in the Black Hills. I have to admit that I had never considered South Dakota as a target destination for a vacation, but we were enjoying ourselves and stayed three days. And, since learning about the area, we've made two additional trips to the area since then. (The Buffalo Round-Up in Custer State Park is a sight to see; The Minuteman Missle Silos are still on my to-do list)
There were some days we did a lot of miles, usually when I was up early and DW slept while I listened to the iPod. Other days, we felt like taking it easy and did so.
Prior to the last trip I had just purchased a GPS. It doesn't replace a decent atlas if you want to route yourself around the country, but it was well worth the investment for overall navigation.
Enjoy your trip, and take as much time as you can!
G2
