Will Accepting Christ Save You?

Consider the following.

If the God of the Bible has revealed Himself to be a God that men cannot or will not, by virtue of their fallen nature come to him, so that if we are to be rescued from our fallen nature God must first make us alive spiritually so that we can see our need for redemption.

That being the case, is a person who has "come to Christ" by virtue of a "decision" that they made at an altar call or after hearing some other appeal of one nature or another, truly saved or are they worshiping a god of their own construct in that scripture tells us that in our unregenerate state we are haters of God. That we are spiritually dead and we all know that dead men can't respond to anything, no matter how appealing it is.

If salvation is indeed by grace through faith alone. Then how is it that we must believe or accept Christ to be saved? Doesn't that by extension mean that we would have to do something to be saved if that were the case?

It is a scary thought indeed. Did you make a decision for Christ? Or did Christ make a decision for you? Are you worshiping a god of your own making? Or are you worshiping the god of the Bible that loved his own while they hated him?