you are correct about hands off instability, but for the Mustang even in full trim, it would 'wander' hands off. Extreme caution for a full tank was basically 'gentle' stick. Any abrupt movement of the stick was not advised, but missions were made with full/near full aft tank, with appropriate cautions for take off and formation assembly before switching from L.Main to Fuse tank. Additionally internal baffles were installed after the November 1943 flight test report for 43-12188/89/90, which improved flying control.
I have heard of, but not verified, of field mods to move carb return overflow to fuse tank and change procedure of warming up, taxi and take off to fuse tank but have not seen a T.O. or an engineering drawing to confirm.
Bob weights were also installed post April 1944.