With this code:
    AGSPoint *aucklandmappoint =[[AGSPoint alloc] initWithX:aucklandMecPoint.x y:aucklandMecPoint.y spatialReference:[AGSSpatialReference spatialReferenceWithWKID:4326]];       
    AGSPoint *losangelesmappoint =[[AGSPoint alloc] initWithX:losangelesMecPoint.x y:losangelesMecPoint.y spatialReference:[AGSSpatialReference spatialReferenceWithWKID:4326] ];      
    [self.graphicsLayer removeAllGraphics]; 
    AGSMutablePolyline *polyline = [[AGSMutablePolyline alloc] initWithSpatialReference:[AGSSpatialReference spatialReferenceWithWKID:4326]]; 
    [polyline addPathToPolyline]; 
    [polyline addPointToPath:losangelesmappoint];        
    [polyline addPointToPath:aucklandmappoint];        
    AGSGraphic *poly = [[AGSGraphic alloc] initWithGeometry:polyline symbol:[AGSSimpleLineSymbol simpleLineSymbolWithColor:[UIColor blackColor]] attributes:nil infoTemplateDelegate:nil];      
    [self.graphicsLayer addGraphic:poly]; 
    [poly release];  
I get: 
When I use normalizeCentralMeridianOfGeometry on the polyline:
    AGSPoint *aucklandmappoint =[[AGSPoint alloc] initWithX:aucklandMecPoint.x y:aucklandMecPoint.y spatialReference:[AGSSpatialReference spatialReferenceWithWKID:4326]];       
    AGSPoint *losangelesmappoint =[[AGSPoint alloc] initWithX:losangelesMecPoint.x y:losangelesMecPoint.y spatialReference:[AGSSpatialReference spatialReferenceWithWKID:4326] ];      
    [self.graphicsLayer removeAllGraphics]; 
    AGSMutablePolyline *polyline = [[AGSMutablePolyline alloc] initWithSpatialReference:[AGSSpatialReference spatialReferenceWithWKID:4326]]; 
    polyline = (AGSMutablePolyline *)[[AGSGeometryEngine defaultGeometryEngine]normalizeCentralMeridianOfGeometry:polyline];
    [polyline addPathToPolyline]; 
    [polyline addPointToPath:losangelesmappoint];        
    [polyline addPointToPath:aucklandmappoint];        
    AGSGraphic *poly = [[AGSGraphic alloc] initWithGeometry:polyline symbol:[AGSSimpleLineSymbol simpleLineSymbolWithColor:[UIColor blackColor]] attributes:nil infoTemplateDelegate:nil];    
    poly.geometry = [[AGSGeometryEngine defaultGeometryEngine]normalizeCentralMeridianOfGeometry:poly.geometry];    
    [self.graphicsLayer addGraphic:poly]; 
    [poly release];  
I get: 
Note: wrap around is enabled    self._mapView.wrapAround = YES;