I know this is well after the question has been answered, but I'm using a different approach as I am using dependency injection to instantiate my controllers.
I have replaced the IActionInvoker ( by injecting the controller's ControllerActionInvoker  Property ) with a version that overrides the InvokeActionMethod method.
This means no change to controller inheritance and it can be easily removed when I upgrade to MVC4 by altering the DI container's registration for ALL controllers
public class JsonNetActionInvoker : ControllerActionInvoker
{
    protected override ActionResult InvokeActionMethod(ControllerContext controllerContext, ActionDescriptor actionDescriptor, IDictionary<string, object> parameters)
    {
        ActionResult invokeActionMethod = base.InvokeActionMethod(controllerContext, actionDescriptor, parameters);
        if ( invokeActionMethod.GetType() == typeof(JsonResult) )
        {
            return new JsonNetResult(invokeActionMethod as JsonResult);
        }
        return invokeActionMethod;
    }
    private class JsonNetResult : JsonResult
    {
        public JsonNetResult()
        {
            this.ContentType = "application/json";
        }
        public JsonNetResult( JsonResult existing )
        {
            this.ContentEncoding = existing.ContentEncoding;
            this.ContentType = !string.IsNullOrWhiteSpace(existing.ContentType) ? existing.ContentType : "application/json";
            this.Data = existing.Data;
            this.JsonRequestBehavior = existing.JsonRequestBehavior;
        }
        public override void ExecuteResult(ControllerContext context)
        {
            if (context == null)
            {
                throw new ArgumentNullException("context");
            }
            if ((this.JsonRequestBehavior == JsonRequestBehavior.DenyGet) && string.Equals(context.HttpContext.Request.HttpMethod, "GET", StringComparison.OrdinalIgnoreCase))
            {
                base.ExecuteResult(context);                            // Delegate back to allow the default exception to be thrown
            }
            HttpResponseBase response = context.HttpContext.Response;
            response.ContentType = this.ContentType;
            if (this.ContentEncoding != null)
            {
                response.ContentEncoding = this.ContentEncoding;
            }
            if (this.Data != null)
            {
                // Replace with your favourite serializer.  
                new Newtonsoft.Json.JsonSerializer().Serialize( response.Output, this.Data );
            }
        }
    }
}
--- EDIT - Updated to show container registration for controllers.  I'm using Unity here.
private void RegisterAllControllers(List<Type> exportedTypes)
{
    this.rootContainer.RegisterType<IActionInvoker, JsonNetActionInvoker>();
    Func<Type, bool> isIController = typeof(IController).IsAssignableFrom;
    Func<Type, bool> isIHttpController = typeof(IHttpController).IsAssignableFrom;
    foreach (Type controllerType in exportedTypes.Where(isIController))
    {
        this.rootContainer.RegisterType(
            typeof(IController),
            controllerType, 
            controllerType.Name.Replace("Controller", string.Empty),
            new InjectionProperty("ActionInvoker")
        );
    }
    foreach (Type controllerType in exportedTypes.Where(isIHttpController))
    {
        this.rootContainer.RegisterType(typeof(IHttpController), controllerType, controllerType.Name);
    }
}
public class UnityControllerFactory : System.Web.Mvc.IControllerFactory, System.Web.Http.Dispatcher.IHttpControllerActivator
{
    readonly IUnityContainer container;
    public UnityControllerFactory(IUnityContainer container)
    {
        this.container = container;
    }
    IController System.Web.Mvc.IControllerFactory.CreateController(System.Web.Routing.RequestContext requestContext, string controllerName)
    {
        return this.container.Resolve<IController>(controllerName);
    }
    SessionStateBehavior System.Web.Mvc.IControllerFactory.GetControllerSessionBehavior(RequestContext requestContext, string controllerName)
    {
        return SessionStateBehavior.Required;
    }
    void System.Web.Mvc.IControllerFactory.ReleaseController(IController controller)
    {
    }
    IHttpController IHttpControllerActivator.Create(HttpRequestMessage request, HttpControllerDescriptor controllerDescriptor, Type controllerType)
    {
        return this.container.Resolve<IHttpController>(controllerType.Name);
    }
}