I've never tried this, but Sony offers a specific DVD recorder which connects to Alphas.
The issue is perhaps not MPEG-4, but any HD format. Original specification DVD does not include HD1080p at all and most DVD players can't output HD. You would need to shoot video in the standard 640 x 480 format (a total waste of the camera!) to get a file which can just be dropped on to a DVD.
You can copy the file as data, but the DVD won't play them.
Corel/Roxio Toast (for Mac anyway) offers some solutions but all depend on the right type of DVD and player.
As far as I know, only a Blu-Ray compatible player or a Playstation 3 (which is what we use) will read an AVCHD-2 format DVD, which is what you need for the full res non-MPEG-4 format. But our other DVD players can not output HD, so we could not really expect them to handle 1440x1080 MPEG-4.