Get to data without touch access
You have luck that you have a rooted phone with CWM!

You can enable USB-OTG by applying this patch to your phone:
http://forum.xda-developers.com/nexus-4/orig-development/usb-otg-externally-powered-usb-otg-t2181820

Then you can plug a mouse and/or a keyboard and control your phone with it.