If Iraq had not been invaded and we'd instead concentrated on doing the job right in Afghanistan, there would be sufficient butterflies that the Arab Spring happening on schedule would have been unlikely. It may have happened earlier or later, but our presence in Iraq definitely affected when an Arab Spring could have taken place. it certainly affected the outcomes elsewhere. The intervention in Libya would have at a minimum taken place without the approval of the Security Council, as I suspect Gaddafi would have remained a useful semi-pariah for the Russians as he would not have taken the steps he did to avoid becoming the next dictator subjected to an Iraqi-style intervention.
I agree - many of the states were the Arab Spring took place were propped up by the US and if it hadn't been for Iraq, the US would have been more popular.