Allies invade Yugoslavia 1943/44

How likely was the prospect of the US and Britain continuing to expand on their Med strategy in 1943-44 by launching an invasion of Yugoslavia instead of preparing for D-Day ? How well or badly could they have worked alongside Tito's partisans to expel the Germans, Italians and Ustasha ?
 
Very un. Americans didn't like British "screwing around" and wanted landings in France and strike in Germany. And as they provided bulk of forces and equipment their opinion prevailed.
 
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