Two competing initiatives are starting to circulate in Arizona that would deprive political parties of their ability to have nominees. Both would provide that all candidates run in the primary. One would use ranked choice voting in the general election and would allow the top five vote-getters onto the general election ballot. The other would use ranked choice voting in some but not all general elections, and would let the legislature choose how many candidates advance to the November ballot. See this story.
There will also be a ballot measure in November 2024 that provides that parties do have a right to have nominees. That was put on the ballot by the legislature. If more than two of these three measures pass, the one that gets the most votes would pass and no others would take effect.
Arizona voters defeated a top-two ballot measure in 2012 by 33%-67%.