The best case for God to a sceptic or unbeliever is a combination of all these things. But for me it is perhaps two in particular- the intelligent designer who makes things work, the sense of design and order and pattern in the universe, the fact that physicists can see a design in the world, and so on.
A compassionate lifestyle answers the question, to some extent, of why we are here. We are here to make the world a better place. That lifestyle is often lived by people who are believers (and often not, and unbelievers live a compassionate lifestyle in many cases). But the believer who lives a compassionate lifestyle because s/he believes that they have been put on earth to make the world a better place is some
evidence- and only some, of the existence of a deity who gives us a conscience, a still small voice within.