There's the hierarchy problem, perhaps, on why gravity is so weak. Given a random constant conjecture with many universes, the anthropic fine-tuning idea becomes an explanation.
Still, I can't see how the question here could be "why is gravity tuned for life?" when we don't even have a single theory that explains both gravity and electromagnetism. Even if we did and the discrepancy remained, the question to follow would be "how do constants arise?" And if one suggests a stochastic manner (not unreasonable given how we experience QM, I suppose), THEN the' fine-tuning' may hint at some manner of multiverses.
Here's my take on analogizing this:
We find a machine that has a button and an LCD display on it. When you press the button on the machine, the numbers 14142135623730950 pop up. Without pressing the button again, there is at least one thing we can conclude about the machine: it is not randomly spitting out numbers. We can conclude this because the odds of getting anything mathematically interesting from a random process are extremely small. Therefore, the numbers we got were almost certainly not the result of some random process. Or if you don't like numbers, just imagine the machine displays the first paragraph of the Declaration of Independence. We would conclude the same thing: it's not the result of a random process.
So we look the machine over and discover no underlying principle why it would produce the numbers (or letters) that it did. We have no idea what range of numbers (letters) it can produce. Maybe it produces the same set of numbers every time. Maybe the numbers can only vary by 1, plus or minus, or maybe they can vary completely. Our lack of knowledge about the range of possible values doesn't affect our overall conclusion that the numbers were produced by a non-random process.
If the numbers were "set" by some internal programming (they can't vary at all), we would simply wonder why they're set for the exact value of the square root of 2 (or the exact first paragraph of the Declaration), and we're back to square one.
But what happens if we press the button over and over again, and a bunch of random "meaningless" numbers keep appearing? The more times we press it, the less sure we would be that it's all a non-random process. Eventually, after a huge number of button pushes, we would conclude we just got lucky the first time.
In other words, there doesn't seem to be an underlying principle behind the values of the various physical constants we've measured. They just happen to have the values they have. We don't know for sure what range they could possibly have, either. We just know we have this sequence of physical constant values that allows for complex structure to exist in the universe. Any deviation in the values, even by the tiniest bit, results in a totally "failed" universe.
But there's no button to press, to generate new values, so we simply conclude there's a whole bunch of universes out there, and we just happen to be in one of the lucky few that can support life. Hence, the rising popularity of multiverse theory.