I think that Utah sends alot of students around the country because there is only one small school in the state, and so many incredibly well qualified students are produced from schools like BYU and UofU. BYU must send medical students everywhere! But if you are in Utah and are wondering if other schools will be interested in you, then yes you will do well. Alot of schools like the Utah students because LDS students are unique in many ways. There are great qualities that people in other parts of the country really appreciate. I am sure that you should have no problem interviewing around the country.
Alot of people I know interviewed at Uof Vermont, and the school seems to really like Utah students.