The arguments are uniformly stupid. The Arabs of Palestine protested against having their own currency, for one thing. This is a British coin.
But an easy way to counter the arguments comes from the news today:
In honor of Lag B’Omer, the Israel Antiquities Authority on Monday revealed a rare bronze coin from the period of the Bar Kokhba revolt (circa 132 CE), which was discovered in archaeological excavations of the Israel Antiquities Authority in the William Davidson Archaeological Park, under the supervision of the Company for the Reconstruction and Development of the Jewish Quarter in the Old City of Jerusalem, Ltd. located between the Temple Mount and the City of David.The obverse of the coin is decorated with a cluster of grapes and the inscription “Year Two of the Freedom of Israel” and the reverse side features a palm tree and the inscription “Jerusalem.”The revolt coins featured the Temple facade, trumpets, a harp/violin, as well as the inscriptions: “Redemption of Israel” and “Freedom of Israel.”
I think 132 CE is a little earlier than 1939 CE.
Here's a video about the coin: