I certainly do not think that avoiding the mark guarantees heaven- I am asking if HAVING the mark guarantees hell.
I got children to worry about - what if they are too small to fight it and I die trying?
If you have the faith of Abraham, and trust as he did that the LORD Himself will provide the Lamb... then salvation comes.
If your children are of age to decide for themselves, then the decision is theirs. If they are too young to do so, then I don't think a Righteous Judge will hold them responsible for other's impositions upon them.