You'll be fine with that combination. The Kaminari kit sits slightly higher on the car than the Wings West but you won't really be able to tell.
I have the opposite of what you want. I have the big mouth bumper along with the Kaminari sides and rear. If you are looking at the side of the car, you can see that the Big Mouth bumper hangs a little lower than the side skirts. Since the Wings West RS sides are made to match the Big Mouth Bumper also, your sides will probably be a little lower than the Kaminari front.
Here is a pic of my side, and you can see what I'm talking about. It's not enough of a difference to even worry about.
Mark
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94 Prelude VTEC - garage queen - SOLD

03.5 Titanium Grey Mazdaspeed Protege - new garage queen
07 SSM Fit Sport - daily driver
AIM: MarkSpeed94