I had a similar experience once.... Was driving the car fairly hard for about an hour before (a short highway trip, but I was rushing). As I pulled into the back lane, the batt/alt (don't remember) light came on, and the car started chuggin'/dying. It stalled and I coasted into my parking spot. I thought... hmmm bad alternator (?) and maybe the battery ran outta juice right at my driveway... lucky!!
Try to start, doesn't turn over, no solenoid click either if I remember right. Try starter again listening more carefully for solenoid click, and wipers turn on!!

(only when key is in "starter" position). This freaks me, because the wiper switch is on "Off". Turn key off an on (to start) several times... about 1/2 the time the start position turns the wipers on. Car doesn't ever turn over.
I go in the house to find a number for tow truck. Just before dialing the number I decide to try one more time, because it just seemed too weird to me. Car started normally.

I drove the car nervously for a while, but it never happened again. I asked the service tech about it next time I was in the dealership. He said the body computer had belched. It "just happens" sometimes.. it reset itself and all is well again. He said when weird things happen with electical stuff (switches doing things they shouldn't etc) it's the culprit.
anyway, maybe try disconnecting the battery for a while to reset things. (?)
Good luck,
Brent