Listen bro, any demonstration you give to prove to me you love someone; a complete stranger can also give that demonstration, hence love can not be demonstrated and if love can not be demonstrated it can not be proven. I don`t make the rules, that`s just the way it is period.
Exactly, states of mind cannot be proven to others directly and can hardly be proven undirectly, then again, the same applies to the idea of god, so god cannot proven, hence the best you can say is that "in my mind, much like love, I feel god" which sadly is too little to say or to convince anyone.
In a traditional religion, a statement like above would be considered heresy, for them god is REAL in all terms, it IS, it even interacted with humans several times according to their scripts (talking to Abraham, for example). Hence, I find your belief in god completely weak, and in general, the belief in god cannot be rationalized just like many other things. If you say you believe in god because you like to or because it is practical for you, good for you, I cant rebuttal that, but rationalizing it does not do any good to your faith.