building more roads won't stop people driving: if anything it will encourage more car use, see the science of "induced demand". Short term, work like that will cause more issues as roads are closed while they are "improved" or junctions are constructed, then within a few years people will be complaining that the new road is too busy and we nee more roads.
What we actually need to do is give people useful alternatives - then those who NEED to drive can do so, while those just using a car becuase it's more convenient / cheaper can benefit from improved (more frequent, more direct, less expensive) public transport, or can get on a bike without fearing they might not get to the other end of their journey as some half-asleep commuter knocked them off while takng a bite from the breakfast they HAVE to eat on the move as it tale so long to commute by car....