cphi...I have done lots of pavement investigations and evaluations over the last 25 years or so, ranging from laboratory and field testing to visual condition assessments to forensic investigations of roadway and airfield pavements.
OK..based on your answers, it probably is not a base shrinkage issue. If your subgrade is silty clay or clayey silt, then dessication can be occurring, causing shrinkage. You'll need to see if the cracks continue through the base or below, and if generally the moisture content of that material is decreasing with time (runoff patterns changed, less water available to that layer because of reduction in groundwater levels, etc.) I'm not that familiar with the area, but my guess is groundwater is probably not an issue.
That predominately leads to the surface paving itself. With spacing that far apart, the surface would likely be relatively thick (over two inches of asphalt) and/or the surface was placed with no prime or tack coat and is not bonded to the base. Without restraint to inherent material shrinkage, the crack spacing increases quite a bit. The fact that your cracks generally occur between an island and a light standard indicates they are occurring at reduced lateral cross sections..thus further evidence of shrinkage.
If the cracks are wider at the top than at the bottom of the asphalt layer, that's a good indication of material drying/weathering shrinkage. If not, the shrinkage could be below the asphalt surface.
All of this means that there could be several reasons, alone or in concert, for your cracks. Only further investigation will tell for sure.
Given that, if you have no faulting and the pavement is holding up well except for the cracks, then BigH has it....just fill the cracks and don't bother the rest of it.
With cracks that wide, you need to be sure to select a sealer that will span the distance and remain flexible and bonded. Using an airfield type hot asphalt sealer (a rubberized asphalt) is likely your better choice. If the pavement surfacing is rather thick, you might also consider adding sand to the lower layer of sealant to help fill the space.
Let us know what you do and how it works out.