After June 30, 1967, any airport authority, county, city, township, or other political subdivision which operates an airport, is hereby authorized to carry liability insurance for its own protection and the protection of any employee from claim for loss or damage for bodily injury or property damage arising out of or by reason of its operation and maintenance of airport facilities in connection therewith or landing fields; provided, that any airport authority or political subdivision, and its agents, servants, and employees have full government immunity for any claims in excess of the limits afforded by such insurance policies or full governmental immunity in the event no insurance is carried. The existence of insurance coverage may not be conveyed to the jury in the event of suits thereon, either directly or indirectly. If a dispute exists concerning the amount or nature of the insurance coverage, the dispute must be tried separately before the main trial determining the claims and damages of the claimant. This statute confers no right for a claimant to sue the insurer directly.