Making Monsters?
Do you by any chance study at Hogwarts?

As far as your question is concerned, I too doubt there is a connection.
I would personally rather see the Silent Watchers at the entrance to Cirith Ungol as golem-like creatures.
They were made of inanimate substance, and they also seem to have no wills of their own, other then to do their job and keep any intruders out. Also, as golems, they never speak.
As far as Gollum is concerned, I guess Legate and Boromir have already explained it very well.