This question includes some assumptions that are incorrect. The Templers were not deported for being Nazis and Sarona and Waldheim were small agricultural settlements (religious communes), villages not cities.
As mentioned, the Temple Society was a religious sect based in Germany which had schismed from more mainstream Lutherans in the 1860s.
They were a millennial group, expecting the return of Jesus, in the Holy Land. To this end, commencing in the 1870s, they established communities in the Holy Land by purchasing poor quality land in various locations (Sarona was swampy and unproductive) and setting up communal groups to conduct scientific farming to improve the land (Sarona established the Jaffa Oranges brand). They maintained their German nationality and language and there was continual exchange by marriage, education and new colonists from the Temple Society in Germany.
There were four agricultural settlements, Sarona (founded 1871), near Jaffa, Wilhelmina (founded 1902) near Lydda, Betlehem (founded 1906), (not Bethlehem) and Waldheim (founded 1907) in Upper Galilee. They also owned urban property in Acre, Jaffa, Haifa and Jerusalem.
Because they maintained German citizenship, the men were subject to normal German military service and those eligible served in WW1, after which the area moved from the control of Turkey to the British Mandate of Palestine.
When they first settled, as Christian owner occupiers of the land they had purchased there were cultural clashes with the local arabs who were largely Muslim tenant farmers on land owned by absentee landlords or had tenuous land title, and they were subject to local Turkish law. From the 1920s to the commencement of WW2 however they had been long established and were a source of seasonal employment.
As millennial Christians expecting Jesus return the Templers theologically approved of Jews in the Holy Land. There was a growth in the number of Jews, many from Europe or Russia and the early Kibbutzes tended to follow the model of Sarona so despite religious differences the Templers mainly approved of them.
The Templers were not a politically united group. There was a Nazi Party Branch established in Palestine in 1933. Israeli scholar Yoss ben Artzi estimates that only approximately 17% of Templers were Nazi sympathisers. However as German citizens the men were subject to military service in WW2.
At the commencement of WW2 the British arrested all Templers in Palestine as enemy aliens. They were first confined to their agricultural communities, then shifted partly to prison at Acre, and then a large number of men, women and children were shipped to Australia where they were confined to Camp 3 at Tatura in northern Victoria. The British and Australian authorities showed no interest whatsoever in the political inclinations of any of the prisoners. The camps at Tatura were for enemy aliens arrested in Australia, enemy aliens sent from overseas, and military prisoners of war.
After the war, those Templers remaining in Palestine stayed in the communes until 1948 when an attack by Zionists, following the pattern of Zionist attacks on arab communities, on Waldheim when two Templers were killed resulted in the communities fleeing to Cyprus under British protection. Some members returned to Germany but most were admitted to Australia and became citizens. In 1952 after demands from both Australia and West Germany, the Israeli government agreed to pay compensation for the seized properties and in 1962, actually paid.