I am somewhat of a universalism Christian in that I believe everyone who strives for a Jesus-like life of goodness and mercy has a chance at salvation but the question today is how many are leading such a life?
Short answer: No - with qualifiers ;^)
NIV Matthew 9:9-13
9. As Jesus went on from there, he saw a man named Matthew sitting at the tax collector's booth. "Follow me," he told him, and Matthew got up and followed him.
10. While Jesus was having dinner at Matthew's house, many tax collectors and "sinners" came and ate with him and his disciples.
11. When the Pharisees saw this, they asked his disciples, "Why does your teacher eat with tax collectors and `sinners'?"
12. On hearing this, Jesus said, "It is not the healthy who need a doctor, but the sick.
13. But go and learn what this means: `I desire mercy, not sacrifice.' For I have not come to call the righteous, but sinners."
NIV Matthew 11:19
The Son of Man came eating and drinking, and they say, `Here is a glutton and a drunkard, a friend of tax collectors and "sinners." ' But wisdom is proved right by her actions."
NIV Matthew 21:31-32
31. "Which of the two did what his father wanted?" "The first," they answered. Jesus said to them, "I tell you the truth, the tax collectors and the prostitutes are entering the kingdom of God ahead of you.
32. For John came to you to show you the way of righteousness, and you did not believe him, but the tax collectors and the prostitutes did. And even after you saw this, you did not repent and believe him.
NIV Luke 3:12-13
12. Tax collectors also came to be baptized. "Teacher," they asked, "what should we do?"
13. "Don't collect any more than you are required to," he told them.
NIV Luke 18:9-14
9. To some who were confident of their own righteousness and looked down on everybody else, Jesus told this parable:
10. "Two men went up to the temple to pray, one a Pharisee and the other a tax collector.
11. The Pharisee stood up and prayed about himself: `God, I thank you that I am not like other men--robbers, evildoers, adulterers--or even like this tax collector.
12. I fast twice a week and give a tenth of all I get.'
13. "But the tax collector stood at a distance. He would not even look up to heaven, but beat his breast and said, `God, have mercy on me, a sinner.'
14. "I tell you that this man, rather than the other, went home justified before God. For everyone who exalts himself will be humbled, and he who humbles himself will be exalted."
One more...........
NIV John 6:24-29
24. Once the crowd realized that neither Jesus nor his disciples were there, they got into the boats and went to Capernaum in search of Jesus.
25. When they found him on the other side of the lake, they asked him, "Rabbi, when did you get here?"
26. Jesus answered, "I tell you the truth, you are looking for me, not because you saw miraculous signs but because you ate the loaves and had your fill.
27. Do not work for food that spoils, but for food that endures to eternal life, which the Son of Man will give you. On him God the Father has placed his seal of approval."
28. Then they asked him, "What must we do to do the works God requires?"
29. Jesus answered, "The work of God is this: to believe in the one he has sent."