AVCHD discs have a specific file structure like how video DVDs has VIDEO_TS folder with VOB and IFO files. If you burn mpeg2 files on a DVD as a data disc, your DVD player wouldn't be able to play the disc since ViDEO_TS folder and appropriate files are not present. It's the same thing with PS3 and AVCHD disc. If the file structure is not present on the DVD you make, your PS3 is not gonna read/play it. You will need to contact Sony or go to Sony forum to see if the Sony software you mentioned above would allow you to make AVCHD disc to play on PS3.
As an alternative, you can hook up your camcorder to PS3 with USB and play the AVCHD files directly from the camcorder hard drive.