Contrary to what others may think, I believe this poem bespeaks of the everlasting connection Donne believed he had with the Eternal. Yea, though Death stalked him, as well as all, royal or base, in the After-life he would rejoice in everlasting happiness. This thought made him unafraid of the mundane problem of Death, as he believed that Death was only a minor inconvenience to be endured by all people on their way to the glorious here-after! In it, he attempts to rise above the temporal and claim a 'moral high-ground! '
'Go and Catch a Falling Star' is a hauntingly beautiful reach for encompassing and collecting the amazing things in the world, yet he lives in a world apparently bespoiled by his distrust, or perhaps his failure in the man/woman wars we all face! His seeming position of 'moral highground' as a male over that of the 'fickle female' is a little overblown, but perhaps by so doing, actually includes himself in the seemingly ceaseless pattern of lost love and betrayal which he exudes in this wonderful work. Does his 'next-door neighbor' run from him to another man, or two, or is she pushed away?