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Would Auspicious Tattoo and Indomitable Faith stack?
Both are the same type bonus, however they are from different sources, and one source is racial.I think this is an exception.
What say we all?
They are both Trait bonuses to will saves, so they definitely do not stack. The fact that they are coming from different traits is irrelevant since you can't ever take the same trait twice, or even two traits of the same category.
Source
Humans of Golarion pg. 30
Requirement(s) Human—Shoanti
You bear a tattoo depicting one of the totems listed for your quah (see page 16) that favors you with good fortune. You gain a +1 trait bonus on Will saving throws.
Ultimate Campaign pg. 55, Second Darkness Player's Guide pg. 12, Advanced Player's Guide pg. 328 Category Basic (Faith)Source
You were born in a region where your faith was not popular, but you still have never abandoned it. Your constant struggle to maintain your own faith has bolstered your drive. You gain a +1 trait bonus on Will saves.
Advanced Player's Guide pg. 326 Character traits are abilities that are not tied to your character’s race or class. They can enhance your character’s skills, racial abilities, class abilities, or other statistics, enabling you to further customize him. At its core, a character trait is approximately equal in power to half a feat, so two character traits are roughly equivalent to a bonus feat. Yet a character trait isn’t just another kind of power you can add on to your character—it’s a way to quantify (and encourage) building a character background that fits into your campaign world. Think of character traits as “story seeds” for your background; after you pick your two traits, you’ll have a point of inspiration from which to build your character’s personality and history. Alternatively, if you’ve already got a background in your head or written down for your character, you can view picking his traits as a way to quantify that background, just as picking race and class and ability scores quantifies his other strengths and weaknesses.Source
Many traits grant a new type of bonus: a “trait” bonus. Trait bonuses do not stack—they’re intended to give player characters a slight edge, not a secret backdoor way to focus all of a character’s traits on one type of bonus and thus gain an unseemly advantage. It’s certainly possible, for example, that somewhere down the line, a “Courageous” trait might be on the list of dwarf race traits, but just because this trait is on both the dwarf race traits list and the basic combat traits list doesn’t mean you’re any more brave if you choose both versions than if you choose only one.
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Mysterious Stranger |

When it comes to stacking type is more important than source. As a general rule a bonus of the same type does not stack no matter what the source. For example, the bonus to AC from a paladins smite evil is a deflection bonus. That means it does not stack with the bonus from a ring of protection or the spell shield of faith.