I was told that the moles eat the bugs, worms, grubs and such. I was then told that to eliminate the moles, you eliminate their food and they will move on to greener pastures.
I then went out there with diazinon, a strong killer of the abover mentioned bugs, and the moles moved to my neighbor's yard who then diazinoned his yard and the moles moved down the road. It was almost a joke to see the hills pop up. In all likelihood, the moles didn't like the diazinon either. The xhemical also took care of cranefly larvae and other undesireable pests.
It works well. But then there is an occasional turkey that you have to kill and then you need to get creative with traps and such. Never heard about lime helping.