So does this race continue on after our mortal life is over? If not what happens to those who began but fail to finish this race?
No. We must persevere to the end, that is, either the end of our lives or the return of the Lord. We must be 'faithful unto death'.
For those who begin, but fail to finish, God is their judge. I do not judge them, God may have mercy on who he has mercy. But by the same I cannot judge myself, thus I must persevere, and by faith lay hold of the hope set before me, that is, to be conformed to him.
In regards to Noah and his building of the ark. You use it to support your opinion that we must build Christ in us. How do you apply Hebrews 4 to your concept?
It is not so much a concept, as it is an image. It says 'work out your salvation in fear and trembling', and it says that 'the love of God is to do his commands'. To have true faith is to obey God. Always perfectly? No, we grow. As Paul says, 'I serve God with my mind, and the sin with my flesh', that is what we call immaturity in the faith. But God gives us the power both to will AND to do what pleases him (Philippians).
Hebrews 4 talks about entering his rest. At the end of Hebrews 3, entering this rest is likened to entering the promised land. It means that our soul is conquered by Christ. We no longer live for the desires of the flesh, but for the will of God. That is the rest. To enter his rest is to be walking in his life and no longer ours, and to be conformed to him. 'It is no longer I who lives but Christ who lives in me'. Here Paul exhorts Christian to enter the rest, I believe it is the same as James exhorting the brothers to continue unto the saving of the soul. The promised land is our soul, and we must conquer it. We have been quickened in spirit, freed from Egypt by the blood. But we must move on.
Building Christ in us as an Ark is represented perfectly here.
[sup]5[/sup] But also for this very reason, giving all diligence,
add to your faith virtue, to virtue knowledge, [sup]
6[/sup] to knowledge self-control, to self-control perseverance, to perseverance godliness, [sup]
7[/sup] to godliness brotherly kindness, and to brotherly kindness love. [sup]
8[/sup]
For if these things are yours and abound, you will be neither barren nor unfruitful in the knowledge of our Lord Jesus Christ. [sup]
9[/sup] For he who lacks these things is shortsighted, even to blindness, and has forgotten that he was cleansed from his old sins.
[sup]
10[/sup] Therefore, brethren, be even more diligent to make your call and election sure, for if you do these things you will never stumble; [sup]
11[/sup] for so an entrance will be supplied to you abundantly into the everlasting kingdom of our Lord and Savior Jesus Christ.
We must continue growing and bear fruit, otherwise we will be cut off. God has cleansed us from our OLD sins, but we must be diligent now to make our calling and election sure! IF you do this, you will never stumble. :)