Well Yorkshire isn't the only the county club that has struggled to engage with the British Pakistani community and many of those problems are due to the insularity that the Pakistani community often exhibits.
Indeed British West Indians and British Indians have tended to be much better at integrating into mainstream English cricket so it is a bit unfair to blame English cricket as "racist". (Unfortunately most 3rd and 4th generation West Indians have little or no interest in cricket anymore!) Yorkshire does sound like it has its own unique issues though.
Whether Rugby League can overcome some of the issues cricket has will remained to be seen. However if there isn't the initial interest in Rugby League like there is in Soccer and cricket it will be a struggle. How racially mixed are the schools in places like Bradford? If you have informal segregation in the classroom overcoming prejudice on both sides is very difficult. For example many people think that the divided education system in Northern Ireland is one of the main reasons for its continuing sectarianism.
It isn't just a Yorkshire or a Yorkshire cricket issue, but I thought the article was relevant because it dealt with the same northern county that makes up a large part of rugby league's heartland. And the issue shouldn't really be about blame or fault but about understanding attitudes, how they have come about and how they can be changed. We all know that the Yorkshire identity is very important to people in Yorkshire sport, but it can be important to the county's Asian population, along with their own particular Pakistani/Bangladeshi/Indian heritage. One young cricketer in the article stressed how much he had been influenced by 'traditional' Yorkshire values, alongside those of his own family community; as it happens he doesn't really see that much difference between the two!
I do understand that there can be a kind of informal segregation between the native and Pakistani-heritage communities. The first house my wife and I bought was in an ethnically-mixed area and, although the relationships between the 'home' and 'Pakinstani' communities were reasonably okay, there was very little contact between us other than through shopping, saying hello in the street and the odd conversation. We didn't socialise, the children went to different schools and there was a mutual suspiscion of each other.
How you overcome the barriers is another question. Top-down efforts, such as creating special community development officers to foster participation, are one way, but they can be viewed, again, with mutual suspicion - some people from one side sees one particular ethnic group being given special privileges, other people in the targeted group see an organisation/sport that didn't want them suddenly making a special effort now it is in their interests.
One interesting parallel, and one that Goldcoaster mentions, is with the Lebanese community in Sydney. Rugby league there seems to have been a lot more successful in including that minority into the game than we have, and I would have imagined that there were similar issues associated with social integration in that case.
Could it be that the Australian identity - influenced by generations of immigrants, remember - is more capable of absorbing multiple identities? You can be Lebanese, Greek, Croat, but also 100% Australian? Do Yorkshire, Lancashire, Cumbrian identities need to be more overarching, allowing people to express themselves as Yorkshire-English, Yorkshire-Pakistani, even Yorkshire-Welsh!