Jack, here are my thoughts on your questions to me, and some points others have made. You have enough equity in your home that you want limits that can settle most lawsuits. With respect to my comment about a judgment, sorry to have been so cryptic. Ninety five percent of civil cases settle - no trial, no judgment, just a deal where money is paid and the defendant is released from liability. Most plaintiffs and their lawyers will take the insurance policy limits, if offered, because that is the quicker, easier money. Trying the case-- to get more money from an individual defendant -- involves expense for the lawyer, delay in getting money for the plaintiff and risk for both. So they usually take the policy limits if offered. The deKalb trial Ashem discusses is a situation where either the plaintiff or her lawyer was hellbent on getting more, and went to a great deal of trouble for very little benefit. There are people like that out there, although they are rare. Now, I am not familiar with this issue in Georgia, but in many jurisdictions, an insurer cannot pay your limits without getting a release for you -- meaning no further exposure for you. If, god forbid, you kill someone or leave someone gravely injured, you want limits available that are reasonable to protect your assets. 100/300 is likely okay, but look into the cost of an umbrella.
Finally, the uninsured motorists coverage is to protect you. If you are injured or killed in an accident by a motorist with no insurance, the UM responds. It will pay medical claims, lost wages, and loss of earning capacity, and pain and suffering. Whether you want it depends on whether you could absorb a loss of that type.
Hope this is a little more clear.