From a Buddhist or Hindu perspective, what happens if I have no desire for liberation from the cycle of death and rebirth? I am quite content if that cycle continues as is. To me it's just another desire and I thought the whole point was to rid oneself of all desire.
From a Hindu perspective, even the desire for liberation is a problem if it is done from the mind and not the heart. Whether you want it or not, you will eventually find it (if you pre-dispose toward goodness or harmony) or rebirth again with even more entrapment into the "play of the mind" that you approach this subject from already.
It's hard to understand this without knowing about something called the gunas (a string or strand of tendencies): sattvic (peace, harmony, virtue, selfless action), rajasic (action or thought based on delusion via maya), or tamasic (ignorance, laziness, etc.). These are much more complicated than this, but basically they operate on the "like attracts like" principal. Thus, living according to dharma would tend you toward sattvic action and ultimately increase your chances of liberation through positive karma. (karma yoga is a thing) All else moves you away from it via the same process. That could move you to the destination if you weren't even actively seeking it.
There is a catch in that the cycle doesn't continue forever and restarts. When it restarts, those whom have achieved liberation continue to exist as eternal beings, those that haven't are wiped off the board and destroyed with the creations they're attached to since those beings cannot commune with or exist in the heavenly realm due to their natures.