"I'm a man of faith" is the kind of thing people say to try to excuse awful behavior, in much the same way that many men will say "I have daughters!" as a way to excuse sexism and misogyny. It's a useless phrase in this context.
It is such a weird, bull shitty, hypocritical exercise in dumb-fuckery.
Here is what I think is supposed to be encoded in that claim, "I'm a man of faith":
I'm an asshole who has shit all over himself by saying something that clarifies that that I am a bigoted piece of garbage, but let me trot this out to say, "hey, I'm a Christian, I stand before the judgement of Christ and only ask for forgiveness in my weakness, and oh, BTW, I'm totally cool with all that shit in the Sermon on the Mount about judgement, but, what can I say, I'm a weak little prick, so, please see point #1."
But what a dick like Brenneman is also coding is something like this:
"Well, it couldn't be helped, I'm a man of faith which also means I'm really pretty hot on all that cherry picked shit in Leviticus, so, you know, I am what I am."