No, the European Jews in the 20th century were unrelated to the Semitic Jews of the Middle East. Simply using a Hebrew alphabet is insufficient to establish a connection, whatever that means, between the two groups. Scottish Gaelic was a spoken language without any alphabet when the monks of the early centuries C.E. introduced a Latin alphabet but subsequent use of the Latin alphabet cannot demonstrate any connection between the Scots and, say, the Romanians who used the same script.
Even the link Monte attached proves you wrong- 80% at least are confirmed to be Middle Eastern.
Anyway this claim of "synthetic" Jews has been trashed time and time again in the intended posts. Here it's mere trolling and trying to catch a straws. We're discussing heritage and culture not genetics. And even if genetics were on your side (the studies show exactly the opposite), you'd still have to deal with the Jews who lived in the ME.
In addition the comparison is invalid for the simple fact that nobody else uses the Hebrew except for the Jews, unlike Latin and English.
Hebrew is a unique language, used by one people throughout millenniums. And thus shows a direct connection to a specific heritage.