You're simply ignorant. In Operation ELDORADO CANYON, Reagan's 1986 bombing of Libya, NATO members France, Spain and Italy all denied DoD use of bases or their airspace, which made the operation more difficult. Nobody whined about ending NATO over it.
That may or not be the case, but for European countries to prevent US planes from flying over their countries and blocking the US from using their European bases really is betrayal of a major ally. Fair enough not to join in but to be obstructive like that is apalling.