To counter their concerns, you may consider seeking orders for counselling to repair the parent-child relationship to show the court that you are willing to do what it takes to be a part of your kids' lives. Further, this would show that you recognise that the 9yo may have been victim to a hate campaign against you, and that its a delicate process to reconnect with a kid who is experiencing such conflicts. Remember, kids of that age don't have much independent capacity to build their own opinions and the court knows that, so if you show that you're willing to approach that in a positive way that focuses on you and the child, rather than a negative way that focuses on you and the mother, it will probably look better for you.
I understand you probably don't feel you need joint counselling and truthfully, you probably don't...but you need to show the court you would do it for the child's benefit.
Remember - the ICL provides recommendations, not orders. It's the judge who decides in the end. Your case is as important as the mother's.