To impeach someone does not mean to take them out of office, it only means to bring formal charges against, and they must be convicted of the crime by a 2/3 vote by Congress. In all of our history, out of all of the stuffty things presidents have ever done, we have only ever had two presidents in our history successfully impeached. Both were acquitted by Congress (failed to be convicted by a 2/3 vote. Bill Clinton was impeached on a charge of perjury (I'm sure some of you can remember it) and the other president was Andrew Johnson. I don't remember what he got impeached for, probably because he showed up to his inauguration drunk and then said god wanted Lincoln to be assassinated.
All calls for impeachment in the modern era have just been political grandstanding and you should probably just make fun of whoever is doing it. Publicly. Preferably by an opinion letter to a newspaper, but heckling them on Twitter is fine too.