We all have access to grace in Christ. But not all show willingness to receive from Him. Most in fact choose to stand in their own prejudices and light their way by that which they can see naturally.
It's important to make clear though that Jesus is not our substitute but our propitiation. He did not make a summary trade with us. He died on the cross for our benefit. He was fulfilling His plan from before the foundation of the world and opening the door for the purging of our consciences by the engrafting of His Spirit, instruction in doctrine, and the taking on of His own substance within our hearts through the operation of God in us.
It is the remnant that shall be received back to Him in glory. Not the common rock from the soil but those who withstood testing and purification by the work of His Spirit in them as they stood fast in the faith against the blowing of every wind.
God always makes a selection from a selection from a selection...
These shall make war with the Lamb, and the Lamb shall overcome them: for he is Lord of lords, and King of kings: and they that are with him are called, AND chosen, AND faithful.
For many are called, but few are chosen.
2 Thessalonians 3:2
And that we may be delivered from unreasonable and wicked men: for all men have not faith.