The term "wrongheadedly" means stubbornly clinging to an incorrect opinion or idea. There are many synonyms for this word. For instance, "misguidedly" implies that someone was led astray by bad advice or information. "Obstinately" means that someone refuses to change their mind, even when presented with evidence to the contrary. "Perversely" suggests a willful desire to be contrary or go against the norm. "Intractably" connotes an unyielding, difficult-to-work-with attitude. Overall, all these synonyms convey that the person in question is not open-minded, and it is essential to use them when describing someone who is unreasonably stubborn in their beliefs or decisions.