This is quite interesting/cool but the two primary reasons I prefer DSLRs to any point and shoot are: 1. The viewfinder. Screens just don't cut it in sunlight or at night (too much or too little light). 2. Time between getting the camera out and getting that shot is very very quick with a DSLR.
It's hard to imagine this replacing my DSLR. If the cost is low enough it could replace my point and shoot though... I'm still more likely to have my phone on me than a camera...
I have an interest in photography and little to no interest in cameras like Lytro, and probably this one although there's not enough information yet to tell. As you point out handling and speed are important. Nobody cares about a "light field" camera if it's impossible to hold and takes three seconds to turn on. $1300 is a huge chunk of money for unknown performance.
It's hard to imagine this replacing my DSLR. If the cost is low enough it could replace my point and shoot though... I'm still more likely to have my phone on me than a camera...