Preferential ion heating in the solar wind, observed as the occurrence of an ion beam which drifts along the background magnetic field with a velocity close to the local Alfven speed, is still an open problem. Several mechanisms have been identified that might work together in the solar wind to drive the observed ion heating. These mechanisms result from nonlinear ion kinetic effects such as trapping by ion-acoustic waves and by parallel electric fields. Fluctuations observed in the solar wind are intermittent, which can modify the efficiency of these heating mechanisms. We present the first study of preferential ion heating in the fast solar wind that includes intermittent electromagnetic fields in a self-consistent way. We perform fully self-consistent 1.5D hybrid simulations of an intermittent 1=f broadband spectrum of Alfven waves relaxing in a solar wind plasma. Our hybrid simulations treat ions as kinetic particles and electrons as a neutralizing massless fluid. We find that the temporal and spatial dynamics of the mechanisms driving preferential ion heating in our simulations, specifically, gyrobunching and ion trapping by the electric field, show strong dependence on the level of intermittency in the electromagnetic fields. We also find that the ion temperature anisotropy T?=Tk (perpendicular temperature/parallel temperature), and the degree of correlation between velocity and magnetic field fluctuations also depend on the level of intermittency. Our results suggest that some level of intermittency must be included in self-consistent modelling of the solar wind in order to obtain values of these solar wind parameters consistent with observations.