Irony of "In God we trust"

One of the aspects of the drive to defend and further push the phrase "In God we trust" that I have always found both irritating and amusing is the innate contradiction it embodies. The pin head subset of theists who so zealously advocate for it utterly fail to see the irony. They insist that it must be endorsed by government and non-government institutions and agencies alike. They never acknowledge that by it's nature their drives rely entirely on humans. If they really trusted in God they wouldn't lobby for the phrase so vigorously. After all, if it were god's will wouldn't it just be the way it is. There shouldn't be any need for government endorsement. There shouldn't even be any thoughts of seeking government endorsement. To co-opt another favorite phrase of these idiots, doesn't this approach at least imply that they are "playing God"? Are they not implying that God can't accomplish things without human intervention? Judging by their behavior God doesn't seem to be all that much of a supreme being.