The morality of cricket teams and cricket boards are to a large extent shaped by the attitude of their cricket fans. If a team blatantly cheats, or consistently behaves in an abominable manner, at least part of the reason is because they believe that the vast majority of their fans condone it, and perhaps secretly appreciate it, if they can get away with it without getting caught or having to pay a price.
That Kohli behaves revoltingly on the cricket field is a consequence of his perception that the average Indian cricket fan believes that it is ok for an Indian player to be disgusting on the field; that they provide the absurd justification that certain players from certain other teams have also behaved badly sometime in the past
That the Australian team cheats is a consequence of their belief that the average Australian fan would condone their behaviour, and provide the absurd justification that certain non-Australian teams and players have also attempted to cheat on occasions, at some time in the past.
I believe that the vast majority of Indian fans are at least disappointed in the way that many of their players conduct themselves on the field; that the vast majority of Australian fans are at least unhappy that they have a bunch of cheats for their team. What is required is that these fans have to raise their voice, make themselves heard above the cacophony created by the rabid, bigoted minority.
Without the fans pushing them, the cricket boards won't do a thing to clean up the mess; I would be utterly shocked if the BCCI decided that they should not be having the likes of Steven Smith playing in the IPL; or if whatever IPL franchises decided that cheats should not be captaining their sides. It is much, much harder for Cricket Australia, even if it were being run by men who had the good of the game as a guiding principle.