Importing both RAW images and MP4 video files from some Sony cameras

When you connect some Sony cameras to your computer via USB, RAW images and MP4 videos you've shot do not show up via Image Capture, iPhoto, or Aperture. However, JPEG images do show up as expected. As of this posting, the Sony cameras that are affected include: NEX-3 NEX-5 DSLR-A560 DSLR-A580 SLT-A33 SLT-A55