Nor had cared enough about it during the Thatcher's years to enjoy it much today.

Though it's more a tale about power and ambition then deeply about specific national politics, IMO.

I'm curious how they transposed this though. Did they make it contemporary, and at which political level they transposed it.. State? And in which party, for fun?

You've seen the original, I guess. Do they still use some of its devices (eg: the theatrical convention of having the character talk directly to the audience)?

I've no problem imagining it far more detailed and involved, with probably a great many more characters. The novel provides a loose framework around which they can build a much longer and detailed story. The British series did the opposite, condensing much of the plot to turn this into a very focused kind of four-act play. The book was a more naturalist/conventional political satire, the series transformed it into much more focused one, more like a satirical tragedy. It had a lot of punch at the time. It caused a huge bang, even more by the fact Thatcher unexpectedly resigned while series 1 was on the air, making a show that looked like pure fiction suddenly become very actual.

They also totally changed the ending and the relationship of the journalist and FU. In the book he's the one who goes over the roof.

The success of the series convinced the author to make the ending of the series canon and write them sequel novels they adapted.

I guess I'll get to see the US show eventually, it gets heaps of praise so far and it looks fun. Not now, though, not a Netflix user.