From: Shreveport, LA USA
I have the full game, not the demo, so I'm not sure if both of these are in there, but you CAN find out the names of the divisions--in fact you pretty much have to do the one to play effectively...
When you right-click on a unit to call up the pop-up info window, you can then move the mouse over one of the units in the stack on the left side of the pop-up screen to see its details, and in the upper right corner of that view is their division name and patch and division integrity bonus and radius. You need to view these details to see the steps an enemy has so you know how their shock/AT values and AF/DF are going to change when you knock a step off them, so I know it's gotta be in the demo.
The easier way, of course, is simply to click on the OOB button! You can page through the armies and you'll see the 101st Airborne with the units with their patches shown under the text label! (I suppose it's possible the demo does not have the OOB button, apologies in advance if this is the case.)
Note that I don't disagree with you that having the option to switch the patch display to text is an addition that would add some value--the problem is that I think the value added would be slight. On the Run5 discussion threads many things are mentioned and suggested and moaned about, and SSG DOES listen to the ones that seem to have the most support and/or ones that tickle their fancy.
I've suggested many, MANY ideas for improvements and it's cool when one of them gets implemented, but I know that it's not a democracy--it's their game and no matter how great I think my idea is, they are the ones who have to code it or draw the art to get it done. (Besides, if it WAS a democracy, I think I've seen one other person who would vote to get this changed display, vs all the unknown number of people who would vote to spend that same amount of implementation time to add a different feature instead!)