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There is an interesting grammatical construction in the song Shout by Tears For Fears.

They really really ought to know

Those one track minds

That took you for a working boy

Kiss them goodbye

I'm interested in the phrase "Those one track minds" which for me sounds incorrect. It feels like there should be "That" instead of "Those". First, I though that they broke the rules because of the rhyme, but "That one tracks minds" would have fitted ok without braking the rhyme.

Is there an explanation of such usage? Is it grammatically correct?

Note here that 'minds' is not a verb. It is not like saying he minds the shop while they're eating - it is a noun and the object of to know.
one track should really be hyphenated because it's an idiomatic compound adjective. one-track originates from description of trains (see this page) and means that someone/something is repetitive or obsessed with something (i.e. their thoughts always return along the same track to the same ideas).
Because one track is only an adjective, applying to minds, you can understand the pronoun those by removing this adjective. This way, you get those minds, which makes sense - I think the confusion here is just misapplication of the pronoun as applying to 'one' or 'one track'.

Song lyrics like poetry use enjambment In poetry, "enjambment (/ ɛ n ˈ dʒ æ m b m ən t / or / ɛ n ˈ dʒ æ m m ən t /; from the French enjambement) is incomplete syntax at the end of a line; the meaning runs over from one poetic line to the next, without terminal punctuation," Wikipedia. The meaning of the last three lines is "Kiss goodbye those one-track minds that took you for a working boy." But rock music like poetry gains power by slicing things up and moving them around, to both fit the music and provoke the listener. Grammar and syntax don't much obtrude, and likely for the best. Had Jagger and Richards ran their song by the English Stack Exchange, we would now have (I Can't Get Any) Satisfaction. Would you buy the album?