In this case, hyperbole has hijacked the issue. Nonetheless, one of your statements is wildly improbable, as I will discuss.
Other answers have dealt with "I'm starving to death", at least as far as first person goes. The phrase is so widely used simply to mean "very hungry", that this is the default usage. However, a more realistic use might be along the lines of, "I'm trapped on a desert island with no food and no rescue in sight, and I'm starving to death." Although, as you might imagine, this is not what most would consider a very "realistic" scenario.
"To the point of death" is a rather different case. It would be used when the most likely outcome of the current situation is that the individual will die shortly. For a person to be so close to death from starvation, unconsciousness would be extremely likely, so "I'm starving to the point of death" would be (if accurate) an unlikely statement.