However, there is a growing perception in Britain that those in power are not doing enough -- despite strongly worded statements by the likes of Bernstein.
Herman Ouseley, chairman of the anti-racism group Kick It Out, has criticized the FA and the Premier League in their handling of the John Terry/Luis Suarez cases in the past year, labeling it "12 months wasted in hypocrisy."
Terry lost the England captaincy before being cleared in court in July of racially abusing an opponent, but was then banned for four matches by the FA almost a year after the original incident.
"There is very little morality in football among the top clubs," Ouseley told British newspaper the Guardian.
"Leadership is so important; you have to send a powerful message that racism is completely unacceptable. But there is a moral vacuum.
"The big clubs look after their players as assets. There was no bold attitude from them, to say that they would not put up with it."
CNN asked the FA to respond to these accusations, but was told the ruling body would make no further comment on the Terry/Suarez cases.
Clarke agrees that clubs should not just look out for their own short-term interests.
"There has to be individual responsibility and accountability at the football clubs for the behavior of their employees," he said.
"There's an element of responsibility that needs to be addressed. The FA's sanctions for players, for entry-level discrimination, need to be far sterner."
The FA has said it will review its sanctions, but no changes can be implemented until the start of next season. Clarke's PFA said on Twitter this week that it had agreed to an FA proposal of five-match bans for racial abuse.
The Manchester incidents completely overshadowed Saturday's events at another EPL game hosted by Swansea, where a man was arrested and charged after Norwich defender Sebastien Bassong complained of being racially abused.
Norwich revealed later that police are investigating four cases of racial attacks on the Cameroon international in the past fortnight, three of them on social networking website Twitter.
Coming soon after two West Ham fans were arrested for alleged anti-Semitic abuse of Tottenham supporters last month, and several other troubling incidents this season, it doesn't paint a healthy picture of English football --- but shows the size of the challenge faced by the authorities.
Clarke said the question of suitable punishments requires an all-inclusive approach.
"It's easy for me to say a fan should get 'X' punishment, just as it's easy for a fan to say a player should get 'Y,' " he said.
"If we have some kind of consultation across the board to establish acceptable parameters or unacceptable behavior then we will be seen to be putting something into place that everyone has had an input in."
The FA is working with the British government to work out ways of dealing with football's problems, and Clarke says this will only be effective if there is a clear set of guidelines laid down for all areas of the game.