Their is also the problem of conformity with Gods character. The passage early in Genesis gives us a good indication of God's character.
Abraham Pleads for Sodom
16When the men got up to leave, they looked down toward Sodom, and
Abraham walked along with them to see them on their way. 17Then the
Lord said, “Shall I hide from Abraham what I am about to do? 18Abraham
will surely become a great and powerful nation, and all nations on
earth will be blessed through him. 19For I have chosen him, so that he
will direct his children and his household after him to keep the way
of the Lord by doing what is right and just, so that the Lord will
bring about for Abraham what he has promised him.”
20Then the Lord said, “The outcry against Sodom and Gomorrah is so
great and their sin so grievous 21that I will go down and see if what
they have done is as bad as the outcry that has reached me. If not, I
will know.”
22The men turned away and went toward Sodom, but Abraham remained
standing before the Lord.e 23Then Abraham approached him and said:
“Will you sweep away the righteous with the wicked? 24What if there
are fifty righteous people in the city? Will you really sweep it away
and not sparef the place for the sake of the fifty righteous people in
it? 25Far be it from you to do such a thing—to kill the righteous with
the wicked, treating the righteous and the wicked alike. Far be it
from you! Will not the Judgeg of all the earth do right?”
26The Lord said, “If I find fifty righteous people in the city of
Sodom, I will spare the whole place for their sake.”
27Then Abraham spoke up again: “Now that I have been so bold as to
speak to the Lord, though I am nothing but dust and ashes, 28what if
the number of the righteous is five less than fifty? Will you destroy
the whole city because of five people?”
“If I find forty-five there,” he said, “I will not destroy it.”
29Once again he spoke to him, “What if only forty are found there?”
He said, “For the sake of forty, I will not do it.”
30Then he said, “May the Lord not be angry, but let me speak. What if
only thirty can be found there?”
He answered, “I will not do it if I find thirty there.”
31Abraham said, “Now that I have been so bold as to speak to the Lord,
what if only twenty can be found there?”
He said, “For the sake of twenty, I will not destroy it.”
32Then he said, “May the Lord not be angry, but let me speak just once
more. What if only ten can be found there?”
He answered, “For the sake of ten, I will not destroy it.”
33When the Lord had finished speaking with Abraham, he left, and
Abraham returned home.
Now that gives me clear indication of God being just. I find it with that passage in mind difficult to believe that the just God of the bible will send a infant to eternal damnation just because of a cruel twist of fate.