No need to, please correct me if I am wrong. I know it depends on double treaties and many other factors. That is why my advise is to consult a tax adviser as too little info here.
To my knowledge it is only for expert jobs entering thailand, so i assume that for the normal WP you still need the 4 thai per foreigner. Think better to ask a good lawyer knowing about this
Simple answer is NO you can not. Legally you need a IDP or Thai driving license or insurance can refuse to cover if anything happens. It is easy enough to get Thai driving license not to become the next "go fund me"