Paternity search for my family

Research of my father: KLIMCSOK JOSEF born on December 20, 1920 in Hungary. Arrived in Australia in 1949. Impossible to know his journey since this date, unless a person uses the same identity! Thank you for any information. I live in France and the searches all lead to Australia.

There are some definite events for him until 1959. There are a number of possible events after this date, but I am not sure whether they are for the right person.

1941 Hungary:
Marriage to Terazia Keleman
https://www.familysearch.org/ark:/61903/3:1:S3HT-6LN4-2RB?i=236 (#695)

1949 Australia:
Arrival Melbourne, Victoria on 8 Oct 1949 per SVALBARD with wife Antonia b 29 Sep 1931
https://recordsearch.naa.gov.au/SearchNRetrieve/NAAMedia/ShowImage.aspx?B=528789&T=P&S=21
(Record Title: International Refugee Organisation - group resettlement to Australia - nominal roll of emigrants departing from Bagnoli camp Italy on the SS Svalbard - sailing from Naples on 9 September 1949 [Arrived Melbourne 8 October 1949])

Name Index Cards, Migrants Registration [Bonegilla]:
Josef: https://recordsearch.naa.gov.au/SearchNRetrieve/NAAMedia/ShowImage.aspx?B=203626897&T=P&S=1
Antonia: https://recordsearch.naa.gov.au/SearchNRetrieve/NAAMedia/ShowImage.aspx?B=203626898&T=P&S=1

1951 Australia:
A goalkeeper called “J KLIMCSOK” : https://trove.nla.gov.au/newspaper/article/261751269?searchTerm=klimcsok

Various movements:
1947-1949 Italy
1949-1952 Victoria, Australia
1952-1956 Algiers
1956-1957 Vlaanderen, Belgium
Jan 1958 Austria (via Italy) – Marital state = separated
https://collections-server.arolsen-archives.org/H/SIMS5/03020201/0045/165890834/001.jpg

Jul 1959 Departed to USA
https://collections-server.arolsen-archives.org/H/SIMS5/03020201/0045/165890837/001.jpg

16 Jul 1959 arrival New York: https://catalog.archives.gov/id/498213534?objectPage=574
(or via Firefox browser: https://catalog.archives.gov/id/498213534?objectPage=428)
FYI: Nationality = Stateless

I assume that this could be the same person, but unfortunately it does not mention a date of birth???:
8 Sep 1960 arrival New York
https://catalog.archives.gov/id/264997573?objectPage=568
(or via Firefox: https://catalog.archives.gov/id/264997573?objectPage=934 )
FYI: Nationality = Austria, but his actual residence seems to be in New Jersey

Thank you for all the information, I finally have reliable news from my father. I also have for the first time a photo of his face!!! It is indeed Josef, the player from Socer. So I just have to look on the USA side for the last questions. You were wonderful.

Apparently he was in Mexico from 1964 to 1968 and In 1975 he was in Casablanca …
https://www.magyarfutball.hu/hu/szemelyek/adatlap/21468/klimcsok_janos