Instead of a road-bike for commuting, you could consider a "hybrid" bike that's intended specifically for commuting: see for example this questionthis question and this answerthis answer.
My commute is in traffic, so a lot of starting and stopping, and, all-weather riding: so flatter (instead of dropped) handlebars, disk brakes (useful in rain), mudguards, a rack and pannier, and other things you wouldn't find on a road bike.
A hybrid will give many of the same speed advantages, e.g. no suspension, non-knobbly tires, and an adequate range of gears.