First of all I see deer disappear for the week preceeding and the week after a full moon here in NH. With few exceptions (I have killed 2 during the full moon), they seem to go nocturnal. My trail cams tell me they are still there but their timing does not coincide with hunting hours.
Secondly, yesterday I got a trail cam pic of a buck actually chasing a doe...the rut is not late...if anything it seems to be a bit early around here...at least the chasing has started. For the past two weeks we have been getting pics of bucks feeding right along with the does. Up until then we would only see them by themselves. They are starting to feel "lucky". I expect that with the moon waning and some cooler air on the way, this weekend should start to see a lot more action. It's been very slow during day time hours the last two weeks. Even the raccoons are feeding well into the evening hours.