What was found
DURING PILOTS PREFLIGHT INSPECTION, SMOKE STARTED TO FILL THE COCKPIT. NOTICED THE SMOKE COMING FROM THE CAPTAINS LEFT CORNER OF THE WINDSHIELD. SHUT OFF ALL AC ELECTRICAL POWER AND SMOKE WAS EXTINGUISHED. WINDSHIELD DE ICE SYSTEM WAS DEFERRED IAW ALLEGIANT AIR MEL PROCEDURES AND THE AIRCRAFT WAS FLOWN TO LAS VEGAS. MAINTENANCE DEPARTMENT PERSONNEL REMOVED AND REPLACED THE CAPTAINS WINDSHIELD IAW THE AMM 56-10-02. OPERATIONAL AND LEAK CHECKS PERFORMED NORMAL AND THE AIRCRAFT WAS RETURNED TO SERVICE.