'Shoe horned in' is fitting for a Qunari I guess
. I don't think, I will ever play the Qunari Origin either. I'm not a fan of the Qunari, only like them as a plot element (like the Qunari versus the Andrastians in DA 2 - the second act builds the tension between these two fractions very well). The Dalish and the dwarves seem to be very practicable about religion - as long, as no one forces something on them, they seem to be ok. And since both of them are somewhat involved with the ongoing events (having fought together with humans, who are probably mainly Andrastians during the blight in DAO), it does not seems so far fetched as having a Qunari inquisitor. The only Qunari person, that would maybe make sense, is Sten. He seems to be the only QUnari, who have some knowledge of what is going on in Thedas and maybe have some motivation to help. Somehow I don't see the average Qunari caring much about bas stuff.
I do agree mostly with what you said about MotA, although I still find it entertaining enough to play it, even though I am pissed off a bit, that you practically can't do anything about Tallis. I don't hate her, but she lures Hawke and friends into a very dangerous situation and lies about it most of the time (and that shortly after the Arishok desaster, when Hawke has all the reasons to be pissed off by everything Qun, as I normally play MotA at the beginning of act 3). I don't want to kill her, but I want to keep that name list to make sure, she behaves and doesn't do anything stupid on my turf. But I never managed that (I don't think, it's possible, unless I missed something)
What? You do know the 'Qunari' Inquisitor... is a Vashoth? Wasn't even born into that way of life.
Qunari: A Vashoth Qunari who was never introduced to the Qun. Regardless of the player's chosen class, all Qunari Inquisitors are members of the Valo-kas mercenary company and are sent to the Chantry conclave as hired security. Qunari Inquisitors receive a 10% bonus to physical resistance upon character creation.
'Qunari' is just how you're understood by others, but its not what you are. You're just you. That's the appeal of a 'Qunari Inquisitor' - showing others that you're not only what you appear to be. That's really a big theme of things (not just protagonist) throughout DAI and it works.
The most a Qunari Inquisitor can be towards the Qun is 'somewhat sympathetic' (maybe just a slight bit above other race selections) and a tactical ally (like all other race selections can be). That's it.
Bioware gave the PC, regardless of racial origins, a setup that presents them as a person who might be accepting of the Herald role, and then the Inquisitor role, above all else. Not just putting on a show, but truly accepting it in some way. This includes the 'Qunari' race choice.
Tal-Vashoth may carry more of a stereotype of being more feral and uncaring about Thedas (this may or may not be true for individuals, but it may be the common belief), but Vashoth are easily understood to be very close to 'everyone else'. They're probably (depending on personality) considering themselves a merc over being a horned person and would appreciate if people relaxed around them. Considering that we've seen no/few Vashoth in DA before now, now we know how they can behave. Due to race they might have a relatively more aggressive streak, but that's about all they (at least normally) carry with them.