Heritages and Alternate Racial Traits

[Smiling Shadow]

Can you take both?

For example: can an Aasimar take the Angel Blood heritage which changes his ability score bonuses, his spell-like ability, and his skilled bonuses, then take the Incorruptible alternate racial trait which replaces his spell-like ability?

[Tiny Coffee Golem]

So long as you have the thing that's replaced I don't see why not.

[blackbloodtroll]

Absolutely.
As an Aasamir, you can also be medium or small.
Same deal with Tieflings.