I'm new to Inquisitors myself, but there's a potentially great RP angle here.
Paladins aren't meant to be bullies; They are meant to be saviors. As a matter of fact, Inquisitors are incredibly inclined to be bullies.
Inquisitors are known for calling BS on religious and faux religious types. So, in front of the party, you should call that BS on your paladin and ask him to explain himself.
As mentioned previously, you should probably have a conversation with your GM first; But a good GM should see exactly what you're talking about and should appreciate that you want to address it in game, rather than in person.
