Those look like Sora shifters to me, not RSX. Sora has the thumb lever, RSX doesn't. 7-speed RSX had blue decals, 8-speed had gray.
Could you do it? Sure. Might need to spread the rear triangle 2mm on each side - 126 to 130 - but you should be OK.
Aesthetically, it really doesn't matter what anyone thinks if a brifter setup works for you. I wouldn't hesitate if that's the case.