The Wallabies and Brumbies front-rowers resisted the temptation to head overseas, citing unfinished business at both Test and Super Rugby level as they signed new contracts with the Australian Rugby Union.
"I've still got a lot that I would like to achieve both with the Brumbies and the Wallabies, and I can't do that by heading overseas," Moore, Australia's most-capped hooker, said.
"Courtney (Moore's wife) and I are well settled in Canberra now, and that aspect of our lives has taken on an even greater importance after the birth of our son Theodore at the start of this year.
"While playing Super Rugby and representing one's country at Test level is a big commitment, and requires a lot of travel, we have the support structures in place for Courtney here, have a lot of friends around us, and both still love the Australian lifestyle."
Alexander said: "While last year was an eventful one and provided a lot of challenges for everyone associated with the Wallabies, it was a tight group. We stuck together and showed what it meant to us to represent Australia.
"The wins in Argentina, where none of us had ever played a Test before, and against England at Twickenham were incredibly special performances.
"The team showed great heart and togetherness in the face of extreme adversity.
"While we might not be ranked number one in the world at the moment, I truly believe we have the potential to get there.
"Last year's run of injuries has exposed a lot more players, created a lot more competition for places and a lot greater depth in each position, which will help moving forward."