I notice that whenever anyone argues with you or someone else, sometimes you see people just copying your own arguments or responses and using them against you by creating their own personal variation or a slightly altered form of it with minor changes in wording. Without even thinking up their own insults or comebacks.
Examples:
Person 1: You do realize that your argument is based on very old data that makes no sense and only favors Democrats, you left-wing commie...
Person 2: You do realize that your argument is based on very old data that makes no sense and only favors Republicans, you right-wing nazi...
Person 1: Ahhhhh you're still being mad or upset I see...
Person 2: Ahhhhh you're still being [insert whatever disparaging buzzword or other childish insults] I see...
Person 1: Your whole argument has already fallen in shambles and you couldn't even refute my point, how about that?
Person 2: [makes strong ad hominem insults and threats towards Person 1], how about that?
What do you call this type of argumentative style and debating or insult tactic? What kind of name would you give it or what type of fallacy would you consider this? Why do some people sometimes resort to this type of response or comeback A LOT? How do you usually deal with people who argue with you in this particular type, method, or style of mockery and insults?