If this were true then explain Judas...One of the chosen 12 by Jesus who was saved and then lost salvation by evil works.
Luke 22:1-6
22:1 Now the feast of unleavened bread drew nigh, which is called the Passover.
22:2 And the chief priests and scribes sought how they might kill him; for they feared the people.
22:3 Then entered Satan into Judas surnamed Iscariot, being of the number of the twelve.
22:4 And he went his way, and communed with the chief priests and captains, how he might betray him unto them.
22:5 And they were glad, and covenanted to give him money.
22:6 And he promised, and sought opportunity to betray him unto them in the absence of the multitude.
John 13:21-27
13:21 When Jesus had thus said, he was troubled in spirit, and testified, and said, Verily, verily, I say unto you, that one of you shall betray me.
13:22 Then the disciples looked one on another, doubting of whom he spake.
13:23 Now there was leaning on Jesus' bosom one of his disciples, whom Jesus loved.
13:24 Simon Peter therefore beckoned to him, that he should ask who it should be of whom he spake.
13:25 He then lying on Jesus' breast saith unto him, Lord, who is it?
13:26 Jesus answered, He it is, to whom I shall give a sop, when I have dipped [it]. And when he had dipped the sop, he gave [it] to Judas Iscariot, [the son] of Simon.
13:27 And after the sop Satan entered into him. Then said Jesus unto him, That thou doest, do quickly.
Judas gave himself up to Satan. He made that decision of his own freewill.
I believe that if we don't accept Jesus death and resurection, get baptised, and live according his his will (which includes witnessing, being a strong member of a church, etc. [which I call works]) then we cannot go to Heaven. The exception to this in the Bible was the thief on the croos next to Jesus who through faith alone entered into paradise (not Heaven yet).
I can't point to a specific verse that spells this out, but the Bible in whole points this direction. Yes we are saved by faith through Jesus sacrifice on the cross. But not all are saved.
Please do not get me wrong, I am not a biblical expert. In fact I am still learning a great deal about my saviour and his word. I am seeking the truth of the Lord.