More accurate than what? If you're implying it would be more accurate than profiling Muslims, I think you are incorrect. Muslims as a group make up 1% of the US, but a generous, biased study [0] found that they are responsible for 48% of deaths from terrorism since 9/11. From this it follows that the average Muslim is responsible for approx 48 times more deaths than the average American of any religion.

And this is without considering whether the TSA considers categories that have more predictive power than simply being Muslim, e.g. following a particular kind of Islam.

[0] http://securitydata.newamerica.net/extremists/deadly-attacks...