Is it possible to use both when moving to use the mirage drive and a paddle or is that simply to much at once?
Not only is it possible, it is aerobically rewarding while boosting the overall speed up to 1 mile an hour faster.
In the old days, my rudders were pretty "loose" making it impossible to leave them down while trying to both pedal and paddle at the same time. It was tough to paddle comfortably without having to over react to correct the kayaking going off course.
Today, I leave the rudder down and can paddle & pedal for miles without ever touching the rudder control. I gently steer by paddling twice or more on one side compared to the other side. Of course, that won't work if you are on a twisty narrow river but it works well on a wide slowly curving river. Pace wise, I find it comfortable to do one paddle stroke (one side dipped into the water) per every one and a half pedal strokes (up and down with one pedal is one stroke).
It may feel awkward at first and your heart rate may increase, but once you get used to it and your body gets aerobically stronger, pedaling and paddling at the same time is the only way to go. The only drawback is your friends in normal kayaks won't be able to keep up with you.