So, with that said, one would think a person would want a better gripping tire on the front, and having them be the same all around isn't necessarily the best option. Is there validity to this line of thinking?
The current wisdom with different tires is that you put the best tires on the back o a fwd vehicle as the back tire cannot be controlled as the front one can. If you oversteer a fwd car, there isn't much you can do. Newer tires actually have less stopping ability in non precipitation situations.
If the car is AWD. Get 4 new tires and rotate them. The cost of repair if the drivetrain breaks would have paid for several sets of tires