That's typical of Poland's cultural profile and won't change.
Rubbish. I could solve Poland problem with excessive speed in 12 months and at zero cost to the taxpayer. All that needs to be done is outsourcing enforcement to the private sector. Just give any company that wants one a sealed unit containing a speed sensor and a camera, then let them put the things where-ever they want and give them 10% of the fines generated. The problem isn't cultural, it's that there's pretty much zero enforcement, along with minimal fines on the rare occasions when the police are checking speeds, so people think they can just drive at whatever speed they want.
I'd go further and pay bounties to people who provide film of other drivers driving illegally. Got a video of somebody driving at 140 km/h two metres behind the car in front? That's a four thousand zloty fine for him and one thousand zloty tax-free cash for you? Or a video of somebody overtaking on a zebra crossing? Say hello to a tax-free grand from the four he's just been fined. Did you get a video of ten cars overtaking on double white lines? Here's five grand from the twenty they've been fined.
I know for a fact that cameras plus the ability to send film to the police really works. I have an MX-5 with a rear-facing camera that's hard to see when the top is up but very easy to see when the top is down. When the top is up and I'm overtaking on the motorway I regularly get prats coming right up behind and then sitting two metres from my bumper flashing their lights, but when the top is down they zoom up behind and then very quickly drop back to a very safe distance.
The British Isles, Netherlands and Scandinavia are low in uncertainty avoidance which correlates with safer, generally slower, driving.
They also have significantly higher fines (although in the UK the extra hit from insurance is often higher than the actual fine). Finland has something else I'd like to see introduced in Poland: traffic fines based on income. A four grand fine is a lot of money for somebody on minimum wage but far less to somebody on 30k a month. Although, with this being Poland and so many clever people officially earning minimum wage but somehow driving a leased car that cost 500,000zl, we'd need to have fine which are either a certain percentage of the person's wage or a certain percentage of the value of the car in which the offence was committed, whichever is higher.