Can this product be used on bronze bathroom faucets? If so what should I then use as a top coat?

Loctite® Extend Rust Neutralizer is designed for converting light rust to a paintable surface on metal surfaces such as iron and steel. If your faucets are brass as indicated, this product should not be used as it may cause damage. Brass does not rust. This product would not be recommended for use on bathroom faucets.