The path and direction in which the muscle fibers are aligned is genetic. Gravity does have a significant effect on muscle growth, however. Muscles grow in response to resistance, and gravity provides that resistance. Astronauts follow specific exercise programs when in space for long periods of time to prevent musculoskeletal atrophy, because gravity is not present.
Yes, gravity does affect all of our bodily systems, but most of our physiology has self adapted to these effects. The primary example of this adaptation can be seen when our circulatory system is examined. It is a closed hydraulic system that has a physiological pressure gradient to ensure proper circulation. Without the ability to adjust and fluctuate our blood pressure, gravity would cause a greater flow rate of blood to our legs and feet, and a lower rate of flow to our superior structures such as our brain. This compensation for the influence of gravity is why "blood rushes to your head" when you hang upside down.
And muscle is NEVER "replaced" by fat. As you age, you will experience musculoskeltal atrophy. If you do not adjust your nutritional intake, you will also increase the amount of subcutaneous adipose tissue (white fat) that you carry. Your overall ratio of fat free mass / fat mass has changed, but never does "muscle turn into fat." Since skeletal muscle is contractile tissue, and fat is adipose tissue, those with a greater percentage of fat mass will eventually develop sagging skin. It is the subcutaneous adipose tissue, and the epithelial tissue that "sag," NOT skeletal muscle.