How does the second clause relate to the first?
If a Mohammedan has never been exposed to Jesus, either through evangelization or reading, yet lives a good life, and pursues truth, to the best of his ability, would a just God condemn him to hell for eternity?
Yes, anyone who is saved is saved through Christ's redemptive death on the Cross, but it doesn't logically follow that only those with an explicit faith in Christ will be saved.
“Yes, anyone who is saved is saved through Christ’s redemptive death on the Cross, but it doesn’t logically follow that only those with an explicit faith in Christ will be saved.”
Not only is this illogical, it is quite blasphemous. In fact, I doubt that you are even a Christian as a result of such opinions. If you trust in your righteousness for salvation, I assure you that when you die, you will wake up in hell fire exactly because your righteousness were accounted as nothing more than filthy rags in the sight of God. What you offer, essentially, is a form of universalism based upon personal merits of righteousness to receive an atonement outside of faith in Jesus Christ. One wonders what the point of evangelism is, and for what reason Paul received the vision of the Gentiles crying out for help, if they could have merited heaven through their fastings and sacrifices to heathen gods.
First of all, there is no one righteous, all have fallen short of the glory of God (Rom 3:23); even our righteousness, in the sight of God, is but filthy rags, and we are all unclean in His sight (Isa 64:6). There is not a just man upon Earth who does good (Ecc 7:20). Nor are even the Saints in heaven accounted perfect, for he “putteth no trust in his saints; yea, the heavens are not clean in His sight” (Job 15:15). And the only one who can be called good, is God Himself (Mark 10:18).
If damnation is justice, may not mercy choose its own?
Secondly, the only thing that is said of those were ignorant of the God of Israel is that they had no excuse (Rom 1:20). Is God obligated to save them who are not His? Christ Himself prays not for the every individual in the world, but for those given to Him out of the world who would believe in Him (John 17:9). It is written that He will save HIS people, but it does not say that He will save those who are not His sheep (Matt 1:21, John 10:26). Furthermore, it is declared explicitly that whosoever does not believe is condemned already (John 3:18), and that all those whom the Father gives to the Son, will come to the Son (John 6:37).
If you are not happy with what the scripture teaches on this, you should find another religion. Maybe go to the Unitarians, or the Baha’i.