It's arguable that within mainstream Judaism, direct experience of God isn't the point -- and it certainly isn't a prerequisite for Jewish practice. We do what we do because it is the Jewish path. Whether or not we feel confident that actual access to God is the endpoint, we follow the mitzvot anyway. Belief arises through action. If we waited until we felt called to act Jewishly, we might never get there -- but if we act Jewishly without feeling the"call," we can bring the call into being for ourselves.
One solution is to let go of expectations and connect with God in whatever way opens itself to us. Maybe that means prayer, offering the words of one's heart to whatever one understands God to mean. Maybe that means encountering the splendor of the natural world, waterfalls and mountains and rolling hills. Maybe that means finding holiness in relationships with a beloved friend and extrapolating from that sanctified relationship a sense that all relationships can be sanctified.