The mac mini has a Thunderbolt port right? Apple sell a FW to Thunderbolt adapter for about $30 I think. I've used it with my HV20 and HV30 with no issue, either iMovie or FCPX.
Wait , the mac mini 2012 vintage has a FW port, right? Mine does. So all you need is an adapter cable that plugs into the camera mini FW port and the other end has a standard FW 800 connecter to plug into the mini FW port. Open Movie, plug the camera in and iMovie should recognize the camera, although you may need to play with the settings. Tell iMovie to capture the video and wait. It will capture real time, so if you have an hour on the tape, it will take an hour to capture.
My rMBP does not have FW so I use the FW/TB adapter for it.