The PM of Jamaica at that time was the socialist Michael Manley. Not sure how keen he would have been on giving sanctuary to a right-wing, pro-western dictator, regardless of that dictator's deification among a Jamaican religious sect(which has never actually amounted to more than a tiny fraction of Jamaica's population).
My understanding is that the rastafarians worshipped HS because they thought his biography fulfilled some obscure prophecies about a king rising in Africa. The connection sorta breaks down when you try to take it into the geopolitical realm, ie. allying a right-wing, Orthodox Christian dictator with an anti-establishment, black-nationalist faith promoting vague anti-imperialist teachings.