Space Force and Star Trek: is there IP infringement?

The new US Space Force insignia looks much like Star Trek's Starfleet Command United Federation of Planets insignia. But is USSF infringing on the UFP insignia?
Probably not under copyright for a couple reasons: the idea is similar but the expression is distinguishable, in several elements. Also, both borrow from past NASA logos, and USAF Space Command insignia, so it's questionable whether the Star Trek UFP insignia was ever protectable by copyright.
Under trademark, there is probably no infringement, and don't seem to be any trademark registrations for that insignia – though there are several other Star Trek registrations for Starfleet Command insignia and for insignia of the Klingon, Cardassian, and Bajoran political entities. The UFP insignia is probably not famous enough for dilution.
Lastly, under design rights: Paramount’s design patent application for a pin or brooch that looks like the vector element of the insignia was issued in 1981, and it expired long ago. Happily for fans, like me, this means anyone can make that pin – and in the video, I show the very similar one I'm wearing, along with the shirt printed with the design patent application patent illustrations for a toy starship Enterprise (NCC-1701, in case you're wondering). For the US Space Force, this means their insignia can't infringe, as the design patent expired.
Enjoy! And, of course: Live Long and Prosper.

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