Modern people think that spirituality is different and that it begins only when religion ends. This is due to wrong understanding of the principles of sanAtana dharma. According to us both are complimentary and not contradictory.
As our Religion is based on the foundation of dharma, there is no disjoint between religion and spirituality. In fact, the path of karma yoga representing rituals as ordained in the Scriptures followed in the spirit of selflessness without getting attached to the results and offered as dedication to the Supreme purifies the TrikaraNas constituting the mind, speech and action.
Only when the vAsanas get extinguished and the sway towards rajas and tamas gets corrected , one can achieve tranquility. The day to day practice of dharma plays a pivotal role in shaping the inner core of the person and lifts him up from the terrestial to the transcendental plane , from physics to metaphysics and from entertainment to enlightenment.
Thus there is no dichotomy between religion and spirituality.
Also certain people think that those who practice dharma are inferior to those who talk about spiritual pursuits. This assumption is also wrong as a religious person who follows dharma SAstras can attain the abode of the Supreme by his steadfastness, dedication and devotion.