Which cricket club in Australia has had the most number of Australian Test wicket keepers play grade cricket at their club?

Western Suburbs in Sydney had Steve Rixon and Greg Dyer as first grade keepers. Adam Gilchrist played in our Under 16 Green Shield team so if that's ok, we'll claim 3 Magpie Australian Test wicket keepers.

The Gordon Club in Sydney had a few,
The legendary Bert Oldfield, Brian Taber, Phil Emery & a young fella by the name of Adam Gilchrist was there for a period of time.

Eastern Suburbs in Sydney (formerly Waverley Cricket Club) can lay claim to 4 Australian Test Wicket Keepers

Hanson Carter was our keeper from 1897 to 1927.
Steve Rixon 1972 to 75
Brad Haddin 2004 to 2008
Peter Nevill 2009 to 2022