Why British 'keeping peace' in Iraq, when IRA won't agree with it?

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The Britons lost its supremacy after WWII and has to be satisfied as "2nd tier superpower" behind uncle sam. Why did she do this?... following uncle sam's will and serve its interest when British's own backyard still in fire? The IRA and protestant-catholic dispute should be enough trouble, why still find trouble in Iraq? Wait for your response Menc...