Previous admins would not have "jumped right in" to Iraq
using this "save the people" shtick as a justification after the preferred justifications evaporated.
On the other hand, I think it is demonstrated that Clinton was probably more likely to do this sort of war than Bush (either of them).
Clinton would have avoided the America-against-the-world approach. If we had gone in at all it would be with some form of worldwide buy-in.