Am I alone in thinking that some jazz barely qualifies as music?

I'm a life long listener to all forms of music, from classical to African, choral to speed metal. Over the past few years I've found myself leaning more and more towards jazz. But every now and then I'll be listening to a jazz station or even to my own jazz playlist and on comes a tune that sounds more like a recording of the collapse of a musical instrument warehouse than anything I would call music. Occasionally it sounds like multiple, obviously talented musicians were recording different melodies at different tempos simultaneously and somehow their recordings were mixed into a single cacophony that was then released without anyone realizing it.

The thing that really makes it perplexing is that the artists behind these pieces are invariably identified as the be-all, end-all grand masters of the genre. I can't think of a lot of examples but Miles Davis and John Coltrane (who have a lot of music that I do admire) have a few recordings that fall into this category. These are songs where the beat and key are set by most of the band but one or two musicians are off doing scales and arpeggios in a different key and tempo.

Am I still too new to the genre to appreciate these? Is it just my imagination that continued listening will lead to cerebral hemorrhaging? Is there a way to learn to appreciate this style of jazz? Or, should I just stick with the jazz I already like (Brubeck, Getz, Rich, Bennett, Calloway, Marsalis and the tunes by Davis & Coltrane that don't make me nauseous)?