I'm exactly the same, most places we go we'll go in the church or cathedrals, I'm blown away by the architecture the commitment to building these amazing places thats built on pure faith.. I love the history of them... like you I dont practice religion and I don't think I have any faith as such, but find a real draw to churches, cathedrals etc..
We were in the sacre coeur in Paris many years ago and as we walked in the nuns were singing, the place is beautiful and with the singing my Mrs started crying, I've got to admit it was a strange/spiritual feeling... beautiful to be honest...