I feel for you and have trained many trainers over the years that have told me they were in the same boat. Giving you responsibilty for safety and not the authority to do anything about it is a dangerous game for you (and them really too). If you are powerless to do anything people will ignore you, they need to put some "teeth" into their policies and impower some folks like you to get things done. I am not a safety ****, but serious infractions, willfuly are bad and should get big punishment. Badly trained employees that have no resources and are committing safety infractions are another matter, you have to do the first things right (training and equipping) before you can expect much. If you do your training part right your name on the permits are no big deal, if the training is not done right you have a large liability.