I remember being annoyed like this when I got a TS10 (red light) offence when I was 19 and got pissed off that I spend all the money on tax and insurance and what not to try and be a law abiding citizen only to be given the middle finger because of a mistake. However, once the time passes you have to realise that the rules are there for everyone and you know they're there and you've broken them.
The only thing I would say on speeding is that I definitely would not like most drivers in this country to be free to drive as fast as they like as half of them can't even drive safely at 20mph let alone 120mph! But I feel like most people in this group are competent enough drivers to be able to drive at speed safely without putting themselves or any other road users in danger. I personally would like to see more drivers convicted of dangerous driving rather than just plain speed as it's completely contextual. 100mph on a straight road with no one around for miles for instance is a hell of a lot safer than doing 70mph on a busy motorway, but who would get the conviction.....