I believe your analogy is a bit flawed. Someone offering you alcohol, which can be harmful to your health, is not akin to someone offering the Gospel.
A better analogy would be you and metmom are on a sinking ship in the middle of the Pacific and she offers to pull you in a life boat, and you refuse.
Alcohol can be life saving. It can also be life threatening depending on the dose.
I hold that the Gospel is similar.