The man is still the Commander-in-Chief. Anyone of limited mental faculties (which clearly describes President Biden), irrespective of their politics, should not be in the chair if they are not of sound mind. Consequently, I believe the responsible act would be for President Biden to resign the Presidency and allow his Vice President to take the mantle.
| Even the Republicans aren’t likely to try that.
I actually don't think it's in the Republicans best interest to do so. Tactically, the Democrats would be wise to let Kamala Harris sit in the Oval Office and make her the nominee. It would legitimize her as both a nominee and a candidate. Given that isn't happening, the cynic in me believes that suggests the Democrats don't want her as their candidate.
Regardless, the political machinations are irrelevant. It is irresponsible for Joe Biden to continue as President given he is obviously unfit to continue as the nominee.