The Omni's are fine speakers but, as with all things, they have their limitations, particularly ehen talking about a sub that size. Acknowledging a limitation does not mean a blanket disaproval, simply an acceptance of reality.
The satellites are most likely more than up to the task. Actually, I've heard 'em in a properly set up system and was quite imopressed, particularly considering their size. I've also read some fine things about them. Again, in the case of your chosen set, I would have to say that the woofer is a bit small. Other than that, I'd say you'e good to go. ...and I tried to imply this earlier.