Mississippi SB 2531 failed to pass, even though it had passed both chambers of the legislature. The versions of the bill were slightly different in each house, and it is now too late for a conference committee compromise. The bill would have moved the presidential primary (and the primary for all other office in presidential years) from the 2nd Tuesday in March to the 1st Tuesday in March.
As a result, it is now somewhat plausible that the Alabama bill to make the same change may not pass. The idea was to have a unified primary day for several neighbor states in the south, including Georgia, Alabama, Mississippi, and Arkansas. Thanks to Josh Putnam for this news.