.. it is fascinating to see the development of Mao and Stalin's cults of personality, an elevation of the man above masses, which along with doctrinal absolutism from prescribed texts (eg. Mao's red book) does mimic religion in most aspects apart from the obvious and explicit lack of God.
I agree, it's a quasi-religion. Let me describe my notion of Cuba in the respect, based on experience and the cuban
girls people I know.
The cuban regime also preaches the usual leadership-cult in favor of Fidel. The obvious method is to apply to the national pride, cuban identity and associate that with the person of Fidel himself to guarantee obedience to the regime. Apart from that though, Fidel has modelled an even much stronger glorification scheme. Namely to Che Guevara which, thankfully, is dead and can't object any more.

If any, then
El Che serves as
the one big cuban godfather. Cleverly constructed, since the successor of Fidel - which happens to be his brother coincidentially

- just needs to refer to the "spirit of Che" or whatever to receive quasi-devine absolution.
Talking religion, Cuba abolished religion, esp. christianity, after the revolution in 1959. The strict anti-religious notion was never practised that strictly though as it was written on paper. In 1992, Cuba even changed constitutionally from an anti-religious to a secular nation. Means for instance that non-atheists can make political careers, which was impossible before. I find that quite interesting.
Catholicism rules (40%) in Cuba, at least on paper. Again, reality shows up to be a little different. The
Santería cult is rampant in Cuba, well mixed up and joined together with catholic elements.
http://en.wikipedia.org/wiki/Santería
A funny brewage. Santerian
orishas ("Gods") are identified with catholic
santos (San Lazaro...). Santería has deep african roots and is a natural religion as such (with all its typical elements like magic, witchcraft, superstition, scrying...), but kinda glued in a catholic framework.
The local
santero around the corner always welcomes you to help you out in your live's problems. And tell your future by throwing some frikkin mussels or so. I couldn't convince
any Cuban I know in Germany to
not consult those guys for their problems while vacationing in Cuba. At least no woman.
Herzblut