@Wolfgang
I see you have a 302-2v.
You might want consider one of these.
These thunderbirds, up to 93 were sold in Europe and came with the AOD transmission.
Do not look younger as they have AODE after 93. If you search for LX models v8, from 89 to 93, you will find them, much cheaper over here than mustangs from same years.
In case you miss a lot and you are not after original, because you have a 302, the entire electric harness, fuel injection, engine would fit without much problems in your car.
I drive one of these daily, and got one before that. I can tell you the EC4 computer + 302 (5.0 HO) give you 1/10 fuel economy if the engine is healthy. It pulls the 2 tons baby to warp speed in no time, and would do much better on a lighter 71 mustang.
These AOD's are very strong and durable. My previous 91 had 325k with zero problems, same for my current 93 with over 360k.
My 73 FMX will be replaced with one of these.
https://www.autoscout24.nl/aanbod/ford-thunderbird-4-6-v8-lx-benzine-grijs-ab09a866-f9e8-e647-e053-e350040a1028
If you seeks just the trans, that is bolt on 71-73 302 or 351c, for this specific offer, you are looking at same price as let u buy/import a new trans, from for instance TCI (+- 1k no converter or yoke) vs extra costs to renew/refresh the donor car trans before install into the mustang.