Jesus did not only preach the beatitudes, but He also said "I am the way, the truth, and the life. No man comes to the Father but by me." This indicates that our eternity with God is decided in our relationship to Jesus Christ.
When we look to rest of the New Testament, we also see that 'All have sinned and fall short of the glory of God' (Romans 3:23) and that 'The gift of God is eternal life through Jesus Christ our Lord.' (Romans 6:23). Again, it is our response to the Lord Jesus Christ that accesses this gift. What must our response be? From Peter, who walked with Christ: 'Repent' (Acts 2:38), from Paul: 'Everyone who calls upon the name of the Lord will be saved' (Romans 10:9).
From the Lord Jesus Christ Himself: 'Except a man be born again, he will not see the kingdom of God' (John 3:3) and 'That everyone who believes in Him (the only begotten Son, Jesus) shall not perish but have everlasting life' (John 3:16).
We see from this that, based on the teaching of Jesus Christ Himself, and of those who were His followers, that one's righteousness in life is not what sends you to hell or to heaven, but rather a faith in Jesus Christ. You ask what chance you have, your chance, alone, is impossible. Imagine learning of a disaster that all of North and South America will sink into the ocean in 6 weeks. Now, since this is an illustration, let's add that the governments decide that anyone who wants to be saved must swim to safety. You spend 6 weeks training, preparing, and eating right to swim it. Your neighbor spends 6 weeks on the couch eating Twinkies. Which of you will be saved? Neither. The distance is too great. This is like taking it upon yourself to reach heaven. Some people, such as Ghandi, strove for such excellence in life, while others did not bother. Ultimately, neither would make it alone. It will take someone tossing a lifeline, someone bridging the gap. That someone is the Lord Jesus Christ! If you will accept His offer of grace, you will be saved. Then, your life should be a reflection of His love.
No discussion of Ghandi would be complete without noting that one reason he did not accept Christianity as his religion was because of the hypocrisy of Christians. Those of us who are believers must work to truly reflect our Savior, but let us realize that Christ Jesus came into the world to save sinners, among whom I am the chief (1 Timothy 1:15) is still a trustworthy statement, and that, rather than reject grace because you see that the church is filled with people who need it, recognize that you will not be alone! The church is not made of people who are perfect, but imperfect people serving a perfect God.
On an additonal note- (sorry for the long blog post. Good questions deserve the best answer I can give. I pray God uses even my feeble attempts for His glory)--I'm curious as to your source translation in verses 6 & 10, using 'justice' for the Greek word dikaiosune (no Greek font on blogger). This word is typically translated as 'righteousness' and, based on most of the usage in Scripture, has to more to do with living in relation to God's standards than to justice among people. As you factor whether someone is '8 for 8' this becomes an important characteristic--are we talking hunger and thirst for justice among humanity, or hunger and thirst for a right relationship with God?
Additionally, the Beatitudes are not God's only list of behavior and attitude expectations. I'd read Exodus 20 for the 10 Commandments and see if one is 10 for 10 on those. In fact, that's how Jesus dealt with at least one man who came to Him, asking to be saved:
16 And someone came to Him and said, "Teacher, what good thing shall I do that I may obtain eternal life?" 17 And He said to him, "Why are you asking Me about what is good? There is only One who is good; but if you wish to enter into life, keep the commandments." 18 Then he said* to Him, "Which ones?" And Jesus said, "YOU SHALL NOT COMMIT MURDER; YOU SHALL NOT COMMIT ADULTERY; YOU SHALL NOT STEAL; YOU SHALL NOT BEAR FALSE WITNESS; 19 HONOR YOUR FATHER AND MOTHER; and YOU SHALL LOVE YOUR NEIGHBOR AS YOURSELF." 20 The young man said* to Him, "All these things I have kept; what am I still lacking?" 21 Jesus said to him, "If you wish to be complete , go and sell your possessions and give to the poor, and you will have treasure in heaven; and come, follow Me." 22 But when the young man heard this statement, he went away grieving; for he was one who owned much property.
23 And Jesus said to His disciples, "Truly I say to you, it is hard for a rich man to enter the kingdom of heaven. 24 "Again I say to you, it is easier for a camel to go through the eye of a needle, than for a rich man to enter the kingdom of God." 25 When the disciples heard this, they were very astonished and said, "Then who can be saved?" 26 And looking at them Jesus said to them, "With people this is impossible, but with God all things are possible."
Matt 19:16-26 (NASB)
Jesus first has the man to compare himself to the Commandments, and then tests his obedience to those commandments by telling him to give up his stuff. In his refusal, we see that the man has violated the first of the Commandments, because he has other gods before the One, True God. It wasn't just about giving to the poor, but about obey God and valuing God above stuff. True, many people don't have stuff, but are they focused on the One, True God?
There in lies my first response to your question. If you have follow-up questions, post away! I'd be happy to see your response.