When I used to live in London, I was occasionally accosted by street people after money. I knew the stories about them from workmates (how they were secretly rich and/or how they only spent money on booze and fags), and I'd also seen many of them drunk and/or abusive at various times of the day and night.
However, I'd also seen many of them living under blankets on the Strand as I walked to work in the very early morning, so I knew that some of them genuinely needed help.

To avoid feeling bad about having to make a decision about whether I'd give them money or not, I'd find myself unconsciously avoiding street people whenever possible - If I didn't see them, I didn't start wondering - or feel bad - about them, and everything was cool. A subconcious decision, but a decision nonetheless.

I did this with God for a long time too. I didn't want to have to make a decision about where I was going with God, and chose instead the path of convenience of believing in god, but not doing anything about it. I still avoid the issue at times, but maybe a bit less than I used to. More importantly, I'm aware I'm avoiding the issue, and MAYBE try and do something about it. The secret word is try.