There should be Armor for Inquisitors to attack Apostates, in the same way there is currently Armor for Heros to attack Assailants. 

Any suggestions on how to boost Inquisitors to attack Apostates?

It is comparatively easy to find and craft Armor for Heros to attack Assailants

• Bear Helmet
• Warm Mantle
• Bec de Corbin (weapon)
• Savage's Shield
• Hunter's Carcanet (talisman)

Inquisitor armor is far more expensive and difficult to craft compared to equivalent Hero Armor. If and When equivalents are created for Inquisitors to attack Apostates, I suggest they are

• Cheaper and easier to craft compared to other Inquisitorial Armor
• Required Level be 1, 10, or 20 maximum
• Have similar bonuses to Assailant Armor for Heros

The only Boosts for Inquisitors to attack Apostates that I am currently aware of are:

• Dedicated Reputation available from the Eternal Stronghold (+10% to Inquisitor's offense, +10% to Inquisitor's Faith restoration, +10% to Inquisitor's critical hit). There is no equivalent for Heros.
• Inquisitor's Offense, a temporary 20% Boost for 1 hour to damage done by Inquisitor

There should be more boosts available for Inquisitors.

In addition, I would like to see 

• Alpha Apostates.
• Inquisitor Profiles, similar to existing Hero Profiles

Please respond with what you think.