The definite article isn't arbitrary—it follows a clear grammatical pattern for country names with political descriptors.
English uses "the" before country names that include a common noun describing their political structure:
"United Kingdom" is short for "United Kingdom of Great Britain and Northern Ireland." The "kingdom" component makes it a described political entity, not just a name. Same logic gives us "the United Arab Emirates," "the Soviet Union" (historically), and "the Republic of Ireland" (though "Ireland" alone takes no article).
It's not about importance—it's about syntax. You wouldn't say "I'm visiting Kingdom" any more than "I'm visiting Republic."