There is an inherent yellow hue on all horizontal surfaces, and the D90 is worse, with bits of purple hue, and the subject (person at pulpit) has a black shadow around them and an overall lack of definition.
The Sony EVI-D70 is a terrific value for the money but it is by no means broadcast quality...after all, it IS a surveillance camera. The most critical thing in obtaining a good picture is lighting, and I suspect that is problematic for you, along with inability to override white balance settings (however, it can be done i.e like from a Sony joystick controller). If you test the camera in various lighting situations, you may see better picture quality than under florescent lights (which is more difficult for cameras to balance color under).
I know you mentioned that you connected a cable directly to the camera. I trust the video has not been split in any way. I would test both the composite (yellow) jack as well as the S-Video jack and plug them directly into the test monitor. Since you mentioned that both cameras are having problems, I am going to assume lighting is a problem.
Here is something you can try.
First, make sure there is adequate light. Observe the actual color of the lights in the chapel. Do some of them emit an orange color because of the globes, or do they have a blue tint to them? Is there a mixture of various types of lighting in the chapel (florescent, incandescent, tungsten, sunlight)? Are the windows covered, eliminating the outdoor light?
Try this experiment. Move the camera to another environment and observe the picture quality under various light sources (outdoors, under incandescent lights, etc.). The camera's color setting MAY be set and fixed to manual, such as the indoor or outdoor setting. If that is the case, one of your test conditions will look correct (thus the camera would be set to that particular setting). If the camera automatically adjusts and yields a decent picture in your test environments, then perhaps the automatic white balance feature on the camera may be getting fooled and setting the color adjustments incorrectly. This can happen when you are zoomed in on something like the pulpit which may be flooded with florescent light but the sensor of the camera is adjusting for incandescent light falling on the sensor. The result would be incorrect color balance. Make sure you are composing a picture free of light bulbs or fixtures. As a rule, you should always avoid taking pictures of lights.
We use the EVI-D70 cameras but our chapel is a mixture of several color temperatures of light from the various kinds of tubes and bulbs, so I have had a terrible time getting the color of the camera to look correct. However, when shooting exclusively in the cultural hall (where all the florescent lights are all the same), I get good color. During stake conference, we have to set the camera to Automatic White Tracing to get all three cameras close. The only way we have been able to get correct color on each color is to manually adjust the color (red and blue) as well as the iris.
Still, when everything on the Sony EVI-D70 has been adjusted correctly, diagonal lines (such as the choir seats) can have a yellow or blue blotch of color in them, but these blotches are very small. I have only seen the blotching artifacts when using the camera under florescent lights.
I hope this has been helpful. Please write back an let me know if the results of your testing.