I don't think that would be the best idea, trying to hot-wire the monitor onto your motherboard, the onboard video wouldn't be as great and you still need to worry about stability, power etc.
I was thinking about your idea a little last night, I thought it might be cool to build a case heavy enough to support the monitor from the beginning.
You take an LCD arm, attach it to the case, so it has mobility and can fold into one side of the case.
Only problem is, the case would have to be quite large to support that weight, I mean, most arms are roughly what, 20 to 70lbs? Same thing for a monitor, while there small, most LCD screens are around 8 to 15lbs dependent on the size.
I don't know, that's the only other idea I have.
Second, think about the cost, are you really getting anything out of attaching a touch screen, probably 500+ by attaching it to a case when buying a tablet laptop or large touch screen display is more reasonable?
If you have the money to go through it, then try and see all of your options, otherwise, get the tablet pc.