If it makes you feel any better, the phrase “Happy Easter” (or anything like it) is confined to Germanic languages like English.
In the Romance languages, phrases like “Buona Pasqua” is said (which more accurately alludes to the origin of His Sacrifice, which was begun at the Passover meal, which was always a prefigurement of His Sacrifice anyway).
Nothing is lost in the English equivalent, as the origin of the word “Easter” (as an equivalent of “Pasqua”) is not as described here (from “Ishtar”), rather “The English term, according to the Ven. Bede (De temporum ratione, I, v), relates to Eôstre, a Teutonic goddess of the rising light of day and spring, which deity, however, is otherwise unknown, even in the Edda (Simrock, Mythol., 362); Anglo-Saxon, eaester, eaestron; Old High German, ôstra, ôstrara, ôstrarün; German, Ostern. April was called easter-monadh.” (http://www.catholic.com/encyclopedia/easter)
We see (from that quote) that the etymology of the word is not from “Ishtar” rather from a Germanic goddess of unknown origin, who was associated with the coming of the season of spring. Since His Resurrection occurred around that time (of Spring) the early German Christians simply appropriated that term, already in use, to signify His Resurrection. The pagan implications, in other words, were ignored and eventually supplanted by the Christian.
Even if one takes umbrage at this fact, and still wishes to claim “Easter is pagan in origin”, such an objector must then address the fact that literally millions of people (those who speak the Romance languages) don’t use any such word at all, and again, in fact use a word that is etymologically linked to “Passover”. Hardly a pagan connection.
Ah. Much better.
Oddly enough, it’s mostly the more “skeptical” of my friends who post the “Easter is Ishtar” stuff on Facebook. Whichever direction it’s coming from, lulz, no, it’s stupid.