"This conflict is about American foreign policy."

Yeah
"It is driven by a genuine and sincere belief that American should use its military might to remake the world safe for democracy."

Yeah
"That has also been the view of the American right."

Yeah (but not limited to the Right)
"This is precisely why the French and the Russians object - its about complete and total American dominance on the world stage."
Nope, but they may spin this as their reason.
Now, some in the Arab street and terrorist groups in general are still worried about American dominance. But since their invincible "tough guy" in Baghdad has fled or is dead, less are worried about American dominance- though some might be saddened to learn they were hoodwinked by con men and other criminals.