Normally, the worst thing that can happen to a tire is a tread separation, which is almost always a catastrophic failure, particularly at freeway speeds, which can result in all manner of really bad outcomes. Tread separation is a common failure mode on "S" speed-rated tires, which are on 99.99% of all cars on the road today (except new Corvettes, Vipers, Ferraris, etc.).
The problem is that "S"-rated (112mph) tires don't have a nylon cap belt in the carcass, on top of the radial or bias plies, which keeps the tire from disintegrating if the tread separates; that cap belt is only in tires that are speed-rated "H" (130mph) or above, and they're significantly more expensive true performance tires due to the premium materials used in their construction.
BFG Radial T/A's are NOT "performance" tires - they're ordinary garden-variety "S"-rated tires (no cap belts), better described as "performance-appearing" tires. Keep that in mind the next time someone tells you that their T/A's are "performance" tires - they're NOT.
Just one more thing to consider when deciding whether or not to replace your old tires - unless you have "H" or "V"-rated tires (which have cap belts), ten years is probably a good time to replace them.