He later moved to the Illinois Athletic Club (IAC). There, Bachrach coached swimming and water polo from 1912–54. His 1914–17 IAC water polo teams won the U.S. national championship for four straight years. At the IAC, he coached Jam Handy, Harry Hebner, Mike McDermott, Perry McGillivray, Norman Ross, Bob Skelton, Johnny Weissmuller (later famous in Hollywood as "Tarzan"), Arne Borg, Sybil Bauer, Ethel Lackie, and others. His swimmers won 120 National AAU Championships.
Bachrach was additionally head coach of the 1924 Olympics and 1928 Olympics U.S. men's and women's swim teams. His swimmers won 13 gold medals in Paris in 1924, and 10 gold medals in Amsterdam in 1928. He developed four swimmers who won gold medals at the 1924 Olympics: Weissmuller (100m and 200m freestyles, and 800m relay), Skelton (200m breaststroke), Lackie (100m freestyle and 400m relay), and Sybil Bauer (100m backstroke). Weissmuller additionally won two gold medals at the 1928 Olympics (100m freestyle and 800m relay. He additionally developed Norman Ross, who won gold medals in the 400m and 1,500m freestyles and 800m relay at the 1920 Olympics in Antwerp.