This clears question to the Standesamt.

It is Standesamt Wien-Döbling/ Civil registry office Vienna-Döbling, which is to reach via Standesamt Wien-Ottakring NOW:
https://www.wien.gv.at/advuew/internet/AdvPrSrv.asp?Layout=stelle&Type=K&stellecd=2006061211220655&STELLE=YJosef Karl Kaminsky
born Sept 27, 1919, adress Rokitanskygasse 12
Baptism Oct 5, 1919, parish church Hernals, 17th district Vienna
Father: Karl Kaminsky, Buchbinder Assistant, cath., born 15.3.1886 in Vienna, parish Meidling, responsible to authority of Piskal, Comitat Baranya, Hungary, son of Maria Kaminsky
Mother: Lötz Adele, cath., born 13.3.1895 in Vienna, parish Lichtenthal, daughter of Mathilde Lötz
Notes:
1) was returned to the Roman Catholic Church on December 7, 1942 in the Parishchurch of Kalasantiner, 15th district with the permission of the Archbishop's Ordinariate. (so he left any time before the church, how it was often usual THAT times)
2) 1st marriage on December 19, 1942 at Standesamt/civil registry office Wien-Döbling under Familienbuch 511/42.
3) Church wedding with Katharian Vogl at parishchurch Kalasantiner on December 19, 1942
4) According to information of the Magistrate districts office (16th district) Z3 / 977/1922 left with Mrs. Adele Kaminsky, nee Lötz the roman catholic church on Sept, 14, 1922 (parishchurch Hernals);
re-entered 1923
http://data.matricula-online.eu/de/oesterreich/wien/17-hernals/01-116/?pg=155