Your worry is justified and shows you have a handle on this problem.
A 12' wide structure with an 8' wide door leaves just 2' walls on each side. On one end, this is bad enough, but doing it on both ends creates a tendency for the whole structure to rack.
You need to create shear walls on both sides of each door to resist this.
See this drawing:
Even more critical on a hip roof.
Additionally, these old garages typically lack ceiling joists for every rafter and can also benefit from metal ties at the rafter to top plate connection.
It's a good time to check the condition of your roof and sill plates.