I don't run any different setup, not really. Just little alignment tweaks, assuming you can do whatever you want to do (or are going to do whatever you want to do).
For me here's the reasoning: Both are situations you want handling balance, right? Both are situations you want the car to not do something stupid. Might sound odd but I don't want to be chasing a car @ 70mph in a slalom, you can go a long way if you lose it. Both you want all the grip you can make. The slower corners on a track are going to be more like what you see at autocross speeds, and those are the corners folks would most likely complain about push or power down.
Now I do NOT set my cars up loose for autocrossing, some do. Somehow that becomes equal to "what autocrossers do". No, not all of us, and in fact most of us that are any good at it don't like that at all.
As you can see above you have a number of answers, or well, opinions on the matter and they vary about as much as what you'd get if you asked what someone's favorite foods are.
I am running a lot more on the track lately. Because of that I figured it was time to have more safety gear. I happened upon an old A-Sedan Fox body, and I bought it because it had a cage and a fire system and it was cheap. It has a MM PHB and Torque arm and other things that were "standard" when it was built. I drove it before I touched it because I wanted to see how it worked. All the things I hate about that setup when I've autocrossed it in other cars, I dislike about it on the track too.

Meanwhile two weeks ago I pounded around a FRC Corvette on the track, and it worked just as well there as it does when I autocross it.
I mean they just aren't different enough to want completely different setups in my mind. If we were talking about rallying vs. track driving or something then I'd get it.