The words you are looking for are Abholden and Kehle.
"die [...] der Metaphysik Abholden" are "those averse to metaphysics", from adj. abhold (with dative: jmdm., einer Sache abhold sein).
(By the way, in that passage, it should be "die weniger philos[ophisch] Geschulten" rather than "philos[ophischen]".)
"Die unrichtige Kehle" or "unrechte Kehle" is an (antiquated, as far as I can tell) colloquial name for the windpipe (trachea, Luftröhre): see DWDS, "Kehle" 1, examples. The idiom "etwas in die unrichtige Kehle bekommen", just as the modern counterpart "etwas in den falschen Hals bekommen", roughly translates to "take sth. the wrong way/be rubbed the wrong way by sth.", especially owing to a misunderstanding. The idiom originates from the literal meaning of the expression, i.e. "to choke on one's food", because the food went into the windpipe as opposed to the gullet – into the wrong throat, that is.
A paraphrase: Those lacking a proper philosophical training, or displaying a hostile attitude toward metaphysics, are going to misunderstand the abstract considerations and to be offended by them.