People just believe in a higher power.
As you say later in your post though, it's a cultural and taught belief system rather than an inherent thing where we feel a sense of spirituality and link it to 'god'. There are belief systems which don't have 'god' as part of them, and they're still trying to minister to the same feeling.
Religion is a social and cultural construct. In times and places it can be a force for the good, a binding agent, even a replacement for an educational system for a society. But at best it's always only ever been an inadequate substitute with a lot of flaws.
Some people may well always choose to find meaning in belief in a skydaddy or skymummy or whatever. But the form it takes will be individual and personal and relevant to their own needs rather than having a belief system grafted onto how one chooses to then live one's life.