There is only one path to salvation
If there is any other path to salvation other than faith in Jesus Christ, then God is evil. He sacrificed His Son for nothing. If God would require His Son to go to the cross when there was another way to redeem the world from sin, then this is not a God we should worship. (See Matthew 26:39.)
Of course, this is not the character of the only true God. All of history centers on Jesus' death on the cross, the perfect sinless Lamb who died to satisfy God's wrath for the sins we committed against Him. Our Father in Heaven would never be so cruel as to sacrifice His Son if there was any other way. In fact, God confirms in His holy Word that there is only one path to salvation:
♣ - Jesus saith unto him, "I am the way, the truth, and the life: no man cometh unto the Father, but by me." - John 14:6
♣ - Neither is there salvation in any other: for there is none other name under heaven given among men, whereby we must be saved. - Acts 4:12
The reason Christians must not compromise here is because we are to love the souls of our neighbors. When we lie about the central doctrine of our faith in order to avoid charges of "bigotry" or to avoid offending people, we are actually doing the most hateful thing imaginable: We are assuring people of safety when we know they are on their way to eternal damnation. How is it "loving" to assuage someone's feelings here on earth while condemning their eternal soul to everlasting damnation in Hell Fire?
Christians, we must not do this. We must speak the truth even when it is not Politically Correct.