Does your State have open Primaries? In other words, you are free to cast your vote regardless of political party affiliation?

California has a modified closed primary. In this primary a voter who declines to state their affiliation may participate in any primary as long as the party allows decline to state voters.

Common sense prevails.

They call it "semi-closed." Here's the explanation form the state Board of Elections.

"There are three recognized political parties in North Carolina: Democratic, Republican and Libertarian. Voter registration applicants may choose one of these political parties when completing a voter registration application, or they may choose to register as Unaffiliated. North Carolina has a semi-closed primary system. In a partisan primary, voters who are affiliated with a political party may only vote the partisan ballot for the party for which they are affiliated; they are closed to voting in another party’s primary. Unaffiliated voters may vote in any recognized party’s primary, but they may only participate in one."

Yes we do

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It's semi-open meaning that all one has to do is ask for either the Republican or Democratic ballot.