Being saved is one percent perspiration (on our part) and ninety nine percent grace. And this is almost certainly understating the Saviour's role in our personal salvation. Obedience is an important part of the process but it's not the active ingredient in redemption.
Back in the good old days at the Hamilton MTC a guest speaker delivered what was for us, the missionaries, a somewhat polarising talk. He taught mostly from the Book of Mormon, things like whenever we do any good we are borrowing from Jesus or God, who is the source of all good, whose merits are mighty to save. Many of the boys preferred a works based interpretation of salvation. I can see where they're coming from.
However, I feel and the spirit seems to accord (name that apostle) that there is no actual eternal significance to dipping ourselves in water except that God deems it so. Christening could have been a valid method, but God chose another way. Obedience, keeping the commandments aren't what gets us into heaven, not exactly. Obedience is the language we use to communicate to Jesus that we accept his sacrifice, that we accept him as our Saviour. He did the real work. Our work is a nice gesture but our pitiful offerings pale in consequence when juxtaposed with the atonement. As I have said before we can qualify for exaltation, by adhering to the generous conditions that God has laid out, but that doesn't mean we earned it. "Salvation is free", because he paid the price, all we have to do is show up and collect.