Yes the league should crack down on divers, but it happens so fast I don't know that you can rely on refs to handle it in games.
I think the best way is to have a video official reviewing questionable plays after a game. The on ice refs could even let them know which plays they want looked at it.
But even then only the most extreme cases will get punished. The stick not actually hitting Carcillo's face. Kesler's ridiculous flop.
Fining those guys even after games though should help. They embarrass the refs and league with their antics, so they should be publicly embarrassed too.
I agree something needs to be done. However, the post-game analysis by the refs I'm not so sure about. Except in cases where major known injury inducing moves/plays are being reviewed by the league office for disciplinary action, I don't believe post game analysis of diving wouldn't result in the desired effect. For one, infractions and penalties must apply to the current game being played, not future games or penalties (e.g. suspensions, fines, etc...). In reality, it's all moot after the game is completed.
For example, take a huge playoff game 7. Player on Team A dives and gets a penalty called on Team B for a phantom penalty. Team A scores on the power play and wins the game and series. How would that post game ref analysis help the team that lost? Series is over...there is no going back and replaying that game. The point is always to get the call right regardless of time or method taken to do so during the game (i.e. NFL fumble or reception reviews).
In addition, I don't think the "public shaming" would be that big of deal to the players as suggested. I've heard players talk about "getting away" with hits/calls/embellishments as if it were a thing of bravado....especially when the plays result in a victory or a goal. As in...."I did everything in my power to help my team win....did it for the team." For example, players who tenaciously argue that they didn't have a "kicking motion" for a goal that went off their skate. Or jamming at puck that is under a goalie and play is whistled dead? Why aren't they shamed or embarrassed about breaking the rules on these plays?
Maybe it's because diving is viewed as soooo "bush league" and against the "code", I don't know. I just know that post game penalties/fines/suspensions don't help a team that suffered a loss due to the call. The penalties on divers must apply to the current game. Video review by the War Room in Toronto (that reviews goal calls) could be an option though.