Good luck, they've tried several times. Speaking as someone who has lived in Juneau several times in their life as well as worked for the legislature during a break in college, it will never move. The last credible threat to move it was the Willow initiative. Since then every state agency has doubled down on creating an infrastructure that would be prohibitively expensive to move and publically unpopular (it'll crash the Juneau economy).  Having the capital there also restricts access and visibility. It didn't start out that way, but it stays there by design now.