Do you get that? It's a very secular sentiment, it seems to me. "The event is in the hands of God." means that we must follow our own standard, whatever the outcome, which is in the hands of God. And this standard is at the judgement of the "wise and honest", and is conspicuously free from any religious doctrine.
I don’t read it that way. Washington knew quite well that there is no true wisdom apart from the LORD.
Do what you know is right, leave the result to God.
It’s a great Christian attitude, one that Americans would do well to adopt again.