Hunky,
You should be able to connect the audio outputs from your DVD player to an unused set of inputs on your integrated amp. When you watch a DVD, just select that input on your amp, and turn down or mute the sound on your TV.
I have my DVD player/recorder connected to my two-channel system in a similar way. My DVR has two sets of audio outputs. I connect the DVR to my TV with a three-cable component video cable and the usual L+R audio cables. I connect the second set of audio outputs from the DVR to my integrated amp. (In your case, the audio from the DVD to the TV goes through the coax, so you can use the primary audio outputs from the DVD.)
If I watch a recorded TV show, I typically don't care much about the sound, so I just listen through the TV's speakers. (I don't even turn my amp on.) If I watch a movie, I turn the amp on, select the Video input (which is really an audio input from a video device), and listen through my 1801Fs.
I like watching movies with this setup. Even though it's not surround, and there's no center channel, the soundtrack and even background noises sound much more realistic, and have more impact.
Ron