Dear god please tell me the people advocating ignoring a TCAS RA are not professional pilots.
I'll put this in simple words. Never ever fail to follow a TCAS RA. I don't want to share the sky with you if you don't understand this. Even if you "think" you are visual with the conflicting traffic.
If you need evidence, read the Uberlingen accident report.
TCAS is the last, the final barrier between you and a mid air. If you receive an RA, EVERY OTHER DEFENCE AGAINST A MID AIR COLLISION HAS FAILED and you are in the last chance saloon.