A recently released Federal Bureau of Investigation (FBI) document titled “Domestic Terrorism Symbols Guide”* links common protest symbols to “terrorism” — another marker in a common theme of conflating militant protest for social justice with deadly terrorist violence within the United States. Groups like the American Civil Liberties Union (ACLU) and the Brennan Center have raised warnings about such documents, citing inadequate protections for people’s constitutional rights.
https://vault.fbi.gov/domestic-terrorism-symbols-guide/domestic-terrorism-symbols-guide-part-01/view
No.
The document lists symbols that violent extremists use, but explicitly calls out that not everyone who uses those symbols is a violent extremist.
The punisher skull is also in there, but that doesn’t mean they’re claiming every asshole with a punisher skull on their truck is a terrorist. Just that if someone with a punisher skull on their truck shoots up a mosque, that the punisher iconography is evidence that it was an act of right-wing militia terrorism.