no, whats needed is aircraft based locally so they can carry more bombs than fuel, and spend more time over the target than getting there.
its a four hour round trip, with two tankings to get a single F/A-18 carrying just two 500lb bombs up to Mt Sinjar from the Gulf or UAE. if those aircraft were based in southern Turkey, or north east Jordan, or Western Iran, or central Iraq (assuming you could have a secure base..), they'd not only be carrying more bombs when they got to the target, but once they had dropped them it would take much less time for them to return to base and generate another sortie.
flying a fighter for 6 hours (two there, two on target, two back, with multiple tankings) is utterly exhausting - its a one sortie per 24 hour period job - flying the same mission from half an hour away is something your aircrew could do twice, and possibly three times in the same period.