How far reaching are God's powers?

[Gwaithmir]

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“If this is your God, he’s not very impressive. He has so many psychological problems; he’s so insecure. He demands worship every seven days. He goes out and creates faulty humans and then blames them for his own mistakes. He’s a pretty poor excuse for a Supreme Being.” (Gene Roddenberry) 

If God demanded worship every seven days, then He would receive worship every seven days. And besides, the fourth commandment doesn't even say that, which makes the quote particularly stupid. Can't even get it right!

God makes no mistakes. Zero.

“You shall have no other gods before me.  You shall not make for yourself an image in the form of anything in heaven above or on the earth beneath or in the waters below.  You shall not bow down to them or worship them; for I, the Lord your God, am a jealous God, punishing the children for the sin of the parents to the third and fourth generation of those who hate me,  but showing love to a thousand generations of those who love me and keep my commandments.  You shall not misuse the name of the Lord your God, for the Lord will not hold anyone guiltless who misuses his name.  Remember the Sabbath day by keeping it holy. Six days you shall labor and do all your work, but the seventh day is a sabbath to the Lord your God. On it you shall not do any work, neither you, nor your son or daughter, nor your male or female servant, nor your animals, nor any foreigner residing in your towns. For in six days the Lord made the heavens and the earth, the sea, and all that is in them, but he rested on the seventh day. Therefore the Lord blessed the Sabbath day and made it holy." (Exodus 20:3-11)

That sounds to me pretty much like an arrogant, insecure God demanding weekly worship. I find Roddenberry's statement spot on. If God doesn't make mistakes, why did he create imperfect beings who behaved exactly the way he knowingly designed them to?