There's no relation between the two. The progressive values are things like freedom of expression and free journalism. These stand in contrast to nations like Turkey and China, and their internet policy.
What, which rights we foreigners have that the USA actually respect in practice is not important for judging how relevant American values are to the rest of the world?
Maybe no relation but there might be one... Do you know the reasons why they killed all those people with drones? It could be because of their speech... (but the reason why they did it is probably top-secret)