I hope you aren’t suggesting the government mandate the primary setup.
And it should be noted that even the “conservatives” running now are more just Nanny-Staters than conservatives.
If every primary was held on the same day, it might just cause more of a homogenous voting pattern, as well as give the media even more power in how the effect voting. Ideally it would allow a larger diversity among voters, and clearly take away the ridiculous importance of Iowa and New Hampshire, but conversely could allow the media to completely tilt the election in favor of one candidate. I support the idea of voting into August; the election process starts so early it distracts from that which is more important: the implementation of policy and having congressman actually focusing on the jobs they were already elected to.
It's either that or every state is going to have to make January 1 as primary day on their own free will or it's voters be left out of the process entirely. The idea is to get the actual will of the people and not the will of several liberal ststes who have early primaries.