Interesting, and frequently recycled, but wrong.
Easter is a Germanic word - Middle English Ester, Eestour, from Old English ēastre, cognate with Old High German ōstarūn, and related to Ēostre, Ēastre, name of a goddess and her festival that was celebrated at the vernal equinox, from Proto-Germanic *Austrǭ, cognate with 'East', obviously associated with sunrise. Ishtar was an East Semitic goddess worshipped from the Bronze Age onward; Astarte (Greek: Ἀστάρτη, Astártē) is the Hellenized form of Astoreth, the Northwest Semitic form of Ishtar. There is no connection between the two.