Intervening in a country, regime change if you will, is roughly the same dynamic you get when you step in to stop some POS raising his hand to his wife or girlfriend, there's a damn good chance you end up trying to fight both of them.
Nothing has strengthened the Shia leadership of Iran more than US intervention in the region, the Iranians may not like there leadership but they are just as proud as Americans or Canadians and don't want some corrupt supine regime inflicted on them by the US
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