That's the problem already. We've had a CO2 price for a long time - but it's meaninglessly low. I can only presume because of lobbying from those with vested interests.
Unfortunately I could only find sources in french or hebrew but the amounts amassed by this operation is staggering.
[0]https://fr.m.wikipedia.org/wiki/Fraude_%C3%A0_la_TVA_sur_les...
So if you have a 1% chance of getting caught, the fine needs to be 101x the tax.
This is why so many e.g. banking and consumer protection fines fail to achieve their goal - the cost of adhering is more than the probability of getting caught times the fine, so it's economically rational to not pay.
Imho, government trying to sin-tax away CO2 is result of our failure to invest in technology solutions.