I have used a wider rear view internal mirror on my sports racing car thereby removing the need for door mirrors to some extent, but that car has no roof, so no C post to obstruct the view.
As for running red lights and stop signs, I don't think your mirrors will help you in the accident you deserve.Incidentally I have 52 years of motor racing experience, hence have managed to overtake at speed more than a few times without incident thus far.
Back to tyres for a mo, if one believes that they know better than the tyre and car manufacturers then prove it using the simple chalk test(and if you don't know what that is ask your nearest Solo2 driver).
Ioniq HEV Premium white. BRABUS smart forfour turbo black.Porsche 924S Guards Red(what else could it be?), Smart ForFour 1.3 AMT silver, Vindicator Vulcan V8 black, Sinclair C5 off white(and the whole vehicle really is off)