English is actually closer to the ancient hebrew then the modern hebrew is.
That's not how linguistics work. The adoption of written characters and their evolution as a writing system has no bearing on the language itself. One could invent entirely knew writing system, with entirely new characters, and English would still be English. That's why one can write Mongolian in both Cyrillic and Mongolian script.
Modern English descends from Anglo-Saxon, also known as Old English. Prior to the adoption of the Latin Alphabet the language was written using Futhorc, the Anglo-Saxon or Anglo-Frisian runic alphabet, a writing system related to the Elder Futhark.
As English is descended directly from Anglo-Saxon, it is a Germanic language. Its closest linguistic relative is Frisian, after that both English and Frisian are related to Low German, the language spoken in Northern Germany. And all the Germanic languages can be traced to a Proto-Germanic language, itself a branch of the Indo-European language family tree.
Hebrew, however, is completely unrelated to any of these. Hebrew is a West Semitic language, its closest relatives are Arabic (South Semitic) and Aramaic (East Semitic), the Semitic languages (surviving members being Hebrew, Arabic, Syriac, and Amharic) are part of a larger family tree known as Afro-Asiatic. The Afro-Asiatic language family includes all the Semitic languages, as well as Egyptian (including modern Coptic), Tamahaq (Berber), and Somali.
There is no known higher order of language phylogeny that connects Proto-Afro-Asiatic with Proto-Indo-European; and these would therefore be regarded as language isolates. In much the same way that Korean or Basque are language isolates, with no surviving sister languages.
-CryptoLutheran