I agree with Jowers wholeheartedly, because I've seen that thoughtless voting he describes happen. In 2004, my husband and I went to vote at our local polling place. We were Republicans at that time. Yes, my first presidential vote was for George W. Bush. Oh, how things have changed. Back to the story: Even though we were Republicans, we were planning to vote for the Democrat candidate in the Salt Lake County Mayor race (Peter Corroon versus Ellis Ivory). I found out afterwards that my husband had marked Republican in the straight party option, thinking it was just a general question about what party you most align yourself with. Even though he marked Peter Corroon's box, his vote went to Ellis Ivory. Luckily, Corroon won anyways. Read the complete ballot, people!
The Deseret News article, written in 2012, explains that past efforts to ban straight party voting in Utah have not succeeded. Contact the members of the House Government Operations Committee as well as your representatives to show your support for this bill.