Totally depends on the intersection for me.
If it's a 'political' intersection on a small street I'll make sure no one's coming then usually blow the sign.
Anywhere closer to downtown I usually slow and then proceed.
I only put my foot down to assure oncoming/turning drivers that I'm not going to blow the sign
My favourite move is getting up beside a car that has already stopped and shadowing it through the intersection so I don't have to stop.
I pretty much never blow a sign if there is already a car stopped or waiting.
Red lights. Always stop. Nothing bothers me more than someone blowing past me on my left to run a red light.