Okay Joseph, since a toothache has me up in the middle of the night, I'd be happy to respond to your post ... mostly to share with others ... again, I am not disputing that the Sony is a fine camera worthy of serious consideration ... and it is nice to see a beautiful woman as the subject rather than test charts : -)
First off, you have presented 2 pictures who's only commonality is the subject. They were shot at different times in different light: The light direction is obviously different on the Canon shot, and the light quality is slightly more contrasty on the Canon shot. The Canon shot is slightly overexposed for a portrait, and the Sony shot is slightly underexposed. That has nothing to do with how the Camera is "tuned" except perhaps how it comes from the factory with a default settings. With most cameras, default settings are for average conditions.
In addition, the Canon shot is slightly cooler in color temperature. This is very much in keeping with the tendency of many Zeiss lenses to be a touch cooler in feel than say Leica R lenses for ex&le. You have to have shot neutral transparency films to have witnessed this. It is not pronounced, but subtile. So even though it is not properly exposed, I find the Canon shot color temperature to be more in keeping with my previous experiences with Zeiss glass.
It has to be said that the Canon 5D is a sophisticated camera with some consumer features you won't find on the 1DsMKII. To take advantage of those features you have to set the camera to your tastes (which differ person to person and from condition to condition). These settings are primarily for jpeg shooters as RAW files tend to be exactly that: RAW ... allowing all settings to be altered after the fact.
If you read the manual on the 5D, you'll see almost anything can be achieved to taste. The camera comes set to a standard default, but the picture style can be altered at will and saved. For ex&le, you can select "Portrait" style which is slightly warmer in temp, and less contrasty than the default "Standard" picture style.
The point is that you can "tune" the camera to your taste when shooting jpgs ... and then change it for different conditions. The menu allows you to register 3 different "User Default" settings marked #1, #2 and #3. You can also control color temp. and tune exactly to personal preferences.
Here's an ex&le of the Canon menu selections: (I'll get to the pictures in the next post) ...