You have several issues to go over.
First, where is your domicile? Your domicile is your "true" home. You can be domiciled in Alaska even if you live out of state for many years. There is no single factor that determines domicile, but some factors include the location of your job, your home (leased or owned), your car and voter registrations, your church and other significant social relationships, and your significant professional relationships (doctor, lawyer, etc.). To establish a new domicile. you also have to take steps to abandon your previous domicile.
This is what Maine says about residency and domicile.
https://www.maine.gov/revenue/sites/maine.gov.revenue/files/inline-files/residency_guidance_2020.pdf
Secondly, even if you consider yourselves to be domiciled in Alaska (and that is a close question given your description so far), you can be a legal resident of Maine for tax purposes, generally if you lived in the state for more than half the year (more than 183 days). If less than half, you are a non-resident and would only report Maine-sourced income that you and your spouse earned while living or working in Maine. If you are a resident, you would file a part-year resident return, which reports all your world-wide income earned after you became a Maine tax resident. (This makes less difference than it seems. If you are physically living and working in Maine, your income is Maine-source even though your employer is out of state.)
Your situation is somewhat simplified because Alaska does not have a state income tax, so you don't have to figure out how to offset that. You would just file a part-year Maine resident return using the date you moved as the start date of your Maine residency (if more than 183 days) or a non-resident return (if less than 183 days).
As to whether you are still an Alaska resident for your job, that will be up to your employer.
