ShaneSutherland gave Terry Butcher's Caley Thistle side the lead at half-time before second-half efforts by Richie Foran and Alex MacDonald sealed a deserved win for Inverness.
Butcher admitted that Wales midfielder Ledley was afforded too much space to finish off Izaguirre's cross, but he was otherwise delighted with his team's performance and rued a chance that fell to ShaneSutherland.