Do NOT go by the mini-VGA connection - it will never be correct for video editing purposes on programs to be viewed on TV. However, the connection to the Sony DVMC-DA1 should be correctly outputting an NTSC signal from your Mac's Firewire port.
Load the NTSC color bar generator into the Viewer and adjust your monitor as best possible. If you have a pro monitor, use the "Blue Gun Only" mode to set up the monitor with the color bar output from FCP. If your monitor doesn't have that mode, use a Wratten 47B filter to view the color bars on screen while making the adjustments.
This tutorial may help if you're unfamiliar with the process:
http://www.videouniversity.com/tvbars2.shtml
-DH