Who told you the '60s have no value? It all depends on how your farmhouse is built. If it has solid brick walls (the thick ones, not concrete), wooden or masonry load-bearing structure, and those typical Mantuan features like porticoes or generous openings onto the courtyard, that's stuff worth preserving. The '60s aren't the 15th century, sure, but if the farmhouse is well-built, that original structure is what makes it stable and charming. What you can't do is tear down the load-bearing walls, even the ones that seem "in the way" to you - you need a structural engineer to read the structure before any internal demolition.
Where you actually have plenty of freedom is with the systems: you can run modern piping, air conditioning, radiant floor heating, whatever you want, as long as you don't knock down the main walls. The trick with modern comforts is to hide them. Instead of visible radiators, install radiant floor heating. The original fixtures have incredible charm but they insulate poorly, so you can replace them with well-made replicas (in wood, same proportions) that perform really well. For the interior spaces: if the large room still has a wooden ceiling or that brick vault, you keep it. If it's already been "touched" over the years, you have more freedom to intervene.
The real advice is to invest in a serious structural assessment before doing any work. Have an engineer look at it, maybe one specialized in restoration (even if you won't do proper restoration). It costs little and saves you expensive mistakes. Then, who cares what theory says - your farmhouse has its own specific story, and that's what's worth preserving.