I believe they are doing quite a bit of stacking, as they say they are processing up to 130 megapixels from 10 sensors to get the final image. There should definitely be a dynamic range improvement. I hope they can somehow apply their processing to video streams and provide a wide dynamic range (maybe even HDR) video, but I'd be surprised if they can do more than provide a cellphone-like 4K stream from a single sensor.
Focus speed shouldn't be an issue. I'm guessing it's using tiny cellphone-sized camera sensors, so even at the f/2.4 printed around the lens, they'll have massive depth of field. It looks like they even have the DOF printed on each lens: 10cm-infinity for the 35mm lenses, 40cm-inf for the 70mm, and 100cm-inf for the 150mm. Any focusing will be done computationally at post-processing time.
I'm interested in the concept; I just hope they're a little more developer-friendly then Lytro turned out to be. I know there's a lot of proprietary secret sauce going on with the computational post-processing, but if they can open up their system just a bit to let the crowd in to poke around, there's probably a lot of unique creative opportunities.