Provides that any elector may vote in a primary election. Requires that all candidates of any political party appear on one ballot at a primary election. Provides that the two candidates who receive the two highest numbers of votes at a primary election are nominated to the general election. Permits a political party to decline to participate in the primary election and to nominate the party's candidates using the party's individual nominating process. Provides for the process by which vacancies in specified offices are to be filled. Permits political parties that endorse candidates at an election to be listed on the ballot. Prohibits political parties from endorsing candidates unless the parties provide for fair and open participation by all electors affiliated with those parties in making the endorsement. Repeals provisions regarding precinct committeepersons, county central committees and state central committees.