I wouldn't worry about it too much.
A "False Dilemma" is a logical fallacy in which only two poor options are provided as possible solutions or answers to a question when in fact there might indeed be multiple alternative options that satisfy the question. By only offering the options that God is either fallible or cruel, you seem to ignore possible other options that might explain the question at hand.
However, I see your original post, not as a true theological inquiry, but as a rhetorical device that is intended to make a point. Your post had substantive merit on that level, or at least I found that it did and that's why I responded honestly rather than dismissing it due to inherent weaknesses or false assumptions.
I don't see the original question as being reflective of God's nature, as I don't believe that God is either absentminded or evil, hence He/She is not fallible nor cruel.
But I see the original question as a device that points out how many have misinterpreted or misrepresented Biblical teachings. God, if he/she really exists, is most likely neither fallible or cruel. However, those who claim to KNOW and understand God are merely using Biblical passages as a means of forwarding their own agendas, whether those be personal, political or otherwise.
In other words, it is not God that is fallible, but the problem lies with those who strictly claim that the Bible is His/Her infallible word which should be taken literally.
Anyway, that's my two-cents, hope I didn't offend anyone.