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No, I guess it wasn't Moab's fault. Yet, the lineage of the Messiah was foretold, so Lot's incest would hardly have been a surprise to God. Would it?

no indeed, nothing is a surprise to God

And, if you think about it, that would have put Lot and his daughters above God's law because they committed fornication. Yet they were blessed.

to say they were blessed is stretching a point to say the least.  the last we read of them in the holy scriptures, they were living in a cave, and not according to the will of God.  we do not know if they ever got their act together, with regard to God

 Actually, in the Bible many of God's Messengers and Prophets commit sins against God's Laws.....

indeed - "for all have sinned, and come short of the glory of God" - romans 3: 23.  even according to the quran, adam sinned.  he disobeyed allah, and i seem to remember he also committed the sin of shirk

Sending your daughter-in-law to trick a man into a situation where he must marry her is sort of well, selling her, isn't it? For 6 measures of barley....

no it was not a trick.  indeed boaz could have refused the request.  we read in the book of ruth, that there was a kinsman even closer to naomi than boaz.  so that the right of redemption was actually his in the first instance.  and boaz makes clear to ruth that he will first have to offer this other kinsman the chance to marry ruth.  he refused, leaving the way clear for boaz

Please give me any proof that Adam committed shirk....

no, i cant for the moment, its just i thought i read it somewhere.  if it is not true, then its not true

Ruth was a Moabite, a descendent of Moab, and an ancestor to King David a direct link to Jesus.

i dont know where youre going with this.  if youre saying that ruth was not fit to be an ancestor of the Lord because of the grievous sin of her forefather lot and his daughters, then this is just not logical.  it would mean that noone was fit for this, because everybody is a sinner, one way or the other.  ruth was a sinner, like everyone, because she was born into the fallen state brought about by adams sin in the garden, not because of lots sin. 

the quran also confirms this, albeit obliquely.  2:36, 7:24 confirm that adam was expelled from the garden because of sin, failure, disobedience, call it what you may.  if his descendants had been born totally untainted by his failure, then they should be admitted back to the garden.  but noone has been allowed back since he and eve were put out, because they are not fit to be there, instead they are to live in this scene of sin and death, with all its attendant miseries.  when adam fell, the whole of humanity fell, as is clear from the passage from the epistle to the romans you quote from

According to Romans we all bear Adam's sin.....

5:12 Therefore, just as sin entered the world through one man, and death through sin, and in this way death came to all men, because all sinned�

5:13 for before the law was given, sin was in the world. But sin is not taken into account when there is no law.

5:14 Nevertheless, death reigned from the time of Adam to the time of Moses, even over those who did not sin by breaking a command, as did Adam, who was a pattern of the one to come.

5:15 But the gift is not like the trespass. For if the many died by the trespass of the one man, how much more did God's grace and the gift that came by the grace of the one man, Jesus Christ, overflow to the many!

5:16 Again, the gift of God is not like the result of the one man's sin: The judgment followed one sin and brought condemnation, but the gift followed many trespasses and brought justification.

5:17 For if, by the trespass of the one man, death reigned through that one man, how much more will those who receive God's abundant provision of grace and of the gift of righteousness reign in life through the one man, Jesus Christ.

5:18 Consequently, just as the result of one trespass was condemnation for all men, so also the result of one act of righteousness was justification that brings life for all men.

5:19 For just as through the disobedience of the one man the many were made sinners, so also through the obedience of the one man the many will be made righteous.

5:20 The law was added so that the trespass might increase. But where sin increased, grace increased all the more,

5:21 so that, just as sin reigned in death, so also grace might reign through righteousness to bring eternal life through Jesus Christ our Lord.

i dont know what translation this is.  it is correct, but i find the wording of v.14 misleading.  no, we do not bear adams sin.  we bear our own sin, but we sin because of our fallen state brought about by adams sin.  this is an important distinction.  the passage makes clear that death is the result of sin, confirming ezekiel 18: 4 "the soul that sinneth, it shall die".  romans 5: 12, which you quoted makes it clear that all die because all sin.  so each bears his own sin, unless we are saved, in which case we come into the good of 1 peter 2: 24 - "who his own self bare our sins in his own body on the tree..."