Specifically I’m looking at the power Wind Blast from the Wind subdomain of the Air domain. The ability reads as follows:
Wind Blast (Su): As a standard action, you can unleash a blast of air in a 30-foot line. Make a combat maneuver check against each creature in the line, using your caster level as your base attack bonus and your Wisdom modifier in place of your Strength modifier. Treat the results as a bull rush attempt. You can use this ability a number of times per day equal to 3 + your Wisdom modifier.
With this and similar abilities, do any bonuses or effects from class abilities, feats, or traits such as Greater Bull Rush apply to the roll or result?