Hardly. The Journal (which has long advocated open borders) is well aware of the phenomenom of Pakistanis fleeing America once the FBI announced its post-9/11 intention of interviewing non-citizens from countries that export terrorism.
Their response was to run a major article claiming discrimination and death-threats had driven Pakistanis from a Brooklyn neighborhood.
When the liberal soccer moms that instituted a post-9/11 Muslim outreach program through the neighborhood association and PTA protested the biased article, the reporter refused to consider their evidence or revisit the issue.