after St. Louis police unions instructed officers to publicly display The Punisher's insignia (the mark of a lawless, fascist murderer) the comic book community was quick to point out the stupidity, and the frankly horrifying message sent by supposed peace officers endorsing a maniac. So it's a good thing The Punisher personally confirms he hates cops who see him as a friend… making every cop who "wears his mark" or calls themselves a "fan" look like shameful fool in the process.
-- Andrew Dyce, The Punisher Confirms: He HATES Cops Who Support Him
A fascist is someone who supports a single strong leader with total control of the nation. 'Dictator' was an actual position in the Roman Republic; the people could vote to give one man absolute power for a period of time. Makes sense if you're dealing with a natural disaster or invasion and don't have time to go through the usual channels. Fascism became popular in the chaos of the post WW1 era. Things were changing rapidly, and conservatives wanted to rein in the 'undesirables.' Ironically, the Communist Russian Revolution was a huge spur to the creation of numerous fascist parties across Europe.
Frank Castle, the Punisher, is not a fascist. He isn't interested in taking power for himself, and doesn't want a dictator. He often speaks of having the greatest respect for Captain America, the guy who always chooses the side of liberty and fair play. Frank knows that he's a criminal and a murderer. He just doesn't care. IMHO if he and the Joker were both locked up and unable to kill each other, the two would get along fine.