If I had an Acura Integra and put a Wing's West front on it, I wouldn't call it a Wing's West Integra. Still an Acura. See more in the next part, sir...
Nothing at all wrong with that. And even if there were, who cares? You know? It's your car. But if you're going for the Japanese look, to make it a "Honda" Integra, then go on ahead and put in the RHD and the other goodies.
In the end, even though I can't not, at all, understand why people badge their cars that way, who am I to say no? You dig? I'm just nit-picking with you, man. No harm meant.
Especially when you ask for it. Just take the opinions with a grain of salt, man. Later, QD.