...I don't know that they've had such an extensive "open house" since before 9/11. I DO know that several years ago, they offered a guided tour of a Navy nuclear sub; which normally would never tie up at Earle. But it was Armed Forces Week, or something like that with a lot of large vessels in the New York harbor area, and they either had no other place to berth it, or (...more likely...) wanted it berthed at a facility with some security... There was only a two or three paragraph about it buried in the Asbury Park Press; it was kept very quiet. I worked about 5 miles from the pier, we got there a half-hour early, and they had already admitted more people than they could accomodate. Boy, were we disappointed!
My company was recently doing engineering work at Earle and several of us were issued temporary access passes for the base, which also allowed access to Normandy Road, which parallels the rail line. I had never been on Normandy road before, and I was certainly interested in the railroad.
During our on base travels, we saw a lot of the on-base tracks and the rail yard. Our passes permitted us to use cameras (...a rarity, indeed!) on base, but we kept that strictly to "business". When we go back, I don't think the Navy would object to a shot of a caboose or two if I was to find them!
Like Tom V said, back at that time, the Navy would "neither confirm nor deny" that there were nuclear weapons stored at Earle, but about 10 years ago, quietly said that nuclear weapons "...were no longer stored" there.
The Navy is obsessively paranoid (...and rightfully so!) about every facet of safety on the base, which was very reassuring to an "outsider".