Be sure to stop at the Murie Science Center to see the Heartbeats of Denali film (excellent) and ask the rangers there for any recent wildlife sightings. Stop at the Park Headquarters to see the sleddogs (no demos yet but still fun to see). And if the weather is nice, you might be able to hike the Savage River Loop hike (2 miles round trip).
Have fun.
We did all of these things. Although the river loop wasn't much of a loop since we couldn't find the path where it was covered in snow/ice (and we weren't confident that we would not slip into the cold river). So we hiked up to Savage Rock, too.
The park-side view of McKinley was cloudy, though it cleared up as we were leaving the park. The view from Mile 135 was AMAZING. The peak was so clear, above some thin clouds. I hear it's rare to see the peak so clearly. We stopped in Talkeetna on the way back and had great food at the Roadhouse. I was hoping to stop into some stores, but I didn't realize how late it was since it was light out, everything was closed!
This Saturday we will definitely explore south of Anchorage before I go home! Thanks for your help John!