I'm not sure about taking off the connectors...I was having a similar brainstorm like this a few months ago. I think it's a great idea.
I would try Ubuntu Touch for an OS. Do your research and run with this idea!!
About stripping the connectors...Pis are cheap, so if you take off the plugs and it dies, you're not out much, but you have the knowledge of what will happen and you also get some unsoldering experience. However, I'm not saying it'll kill the Pi. Try it and see. Or see if someone else has tried it and use their advice.