Yes you do. God can't be immoral. If you demonstrate that there is a prime mover and that this prime mover should be called God then that prime mover must also be moral. If the prime mover is immoral or amoral then it cannot be God. You have thus proven that though there might be a prime mover of some sort, it's incorrect to call it God since its immoral and/or amoral.
You have now laid bare the logical fallacy of your position.
You are committing the logical fallacy of argument by assertion. Merely asserting that god cannot exist if he is immoral doesn't make your claim true just because you assert it is.
You need to justify why you think your claim is true with logical arguments.
You have put forth no logical arguments about why you think we must accept your proposition as true that god cannot exist if he is immoral.
Without establishing the truth of your premise, all the arguments you try to make based on that premise fail and are rendered invalid.
The cosmological argument establishes, albeit fallaciously, the need for a prime mover, but cannot establish the nature of that prime mover which could be God or an unknown particle that no longer exists since it has transformed into all the other particles of hat constitute the universe.
There are two things wrong with your statement
1. The cosmological argument was never intended to establish what specific type of god might be behind creation, but only that there was in fact a creator - which gives evidence for God and evidence against atheism being true.
2. By trying to claim that a particle could fulfill the requirements of the cosmological argument shows you do not understand the implications of the argument.
The cosmological argument says that all things which have a beginning have a cause, and that an infinite existence regressing into an infinite past is logically impossible.
Therefore, it's impossible that a particle just always existed waiting to turn into a universe. You therefore need an explanation for what created that particle you think turned into the universe.
You are confused in equating god with the particle, when the particle is actually just part of the creation.
God would have to be that which created the particle in the first place, bringing forth something from nothing, the cause of the beginning.
And because you cannot have an infinite regress into the past according to this argument, you have to conclude that whatever caused the beginning of the universe had to be causeless and not bound by time. Which when you frame the cause that way happens to describe what we call God. There is no materialistic alternative for this causeless and timeless creator.
Except, none of these argument do and again the subject of the debate isn't "is there a prime mover" or 'is the cosmological argument for God correct". The subject is "does God exist?".
Exactly.
To which Craig gave five arguments for why we can logically say that God exists.
And Hitchens didn't give a single argument for why God can't exist. Nor did he do anything to refute any of Craig's five arguments for why God does exist.
In both ways Hitchens failed the debate, offering neither his own positive affirmation for his belief nor a refutation of Craig's positive affirmation for his belief.
Hitchens doesn't counter Craig argument because its inherently weak and at best can only be used to defend some vague deistic sort of deity.
You are engaging in a logical fallacy by essentially claiming "you're argument is so weak I don't even need to refute it".
That's not how logic or debate works.
If you want to claim an argument is wrong, or even just insufficient, you need to prove that by using logical argumentation and evidence to establish why.
The fact is that Craig has positively proven the evidence supports a theistic conclusion over atheism. And neither you nor Hitchens have offered anything to disprove the validity of those arguments.
Claiming that you don't think the argument is good enough because it's just an argument for theism instead of Christianity does nothing to disprove the validity of Craig's arguments as a method of proving theism over atheism.
Once we can agree on the fact that there has to be a theistic beginning then we can debate how we should know what the exact nature of that theism is.
But if you can't first recognize the logical truth of a theistic origin for the universe then there's no point in trying to argue over whether or not the Christian God could be that theistic beginning.
Hitchens sets out to prove that a God people actually believe in, including Craig, the Abrahamic God doesn't exist
Which is a logical fallacy of irrelevant conclusion.
You don't disprove craig's arguments for theism by attacking the moral character of God in the Bible.
As I already pointed out, you have no logical argument for your presupposition that God can't exist if he is immoral. So you have no logical grounds for claiming God can't exist even if you could prove he's immoral (which you can't do anyway, because as an atheist you have no justification for calling anything objectively moral to begin with).
because his character shows clear signs of fabrication
Logical fallacy of Irrelevant Conclusion.
Even if we assumed your claim were true (and I could dispute it) you do not disprove any of Craig's arguments for theism by attacking the veracity of the Bible.
Craig's arguments for theism are based in logic and science and do not depend on the Bible.
and if he did would be too immoral and weak to be called a God.
Your argument is fallacious because it's based on presumptions you can't justify. The unproven and unsupported presumption you have that god can't exist if he is immoral.
You have no logical reason for saying Craig's theism evidence is disproven if god could be shown to be immoral.
The evidence for a cause and design remain completely unchanged and still best explained by theism, with athiesm offering no alternative.
I am also not sure what you mean by "weak", but it's not relevant anyway because as we already established no argument you make from the Bible can disprove the truth of those four arguments he made because none of them depend on the Bible to be valid arguments in their own right.
You don't need to address your opponent's argument in a debate.
Demonstrating that clearly you don't understand how logical debate works.
Addressing our opponent's relevant arguments is, in fact, the very definition of a proper debate. Otherwise there's no point - you're just talking past each other and ignoring each other
Which, unfortunately, is basically what Hitchens did. He just ignored everything Craig argued and spoke off his script of slandering God's character.
What you are correct is that Hitchens doesn't address the argument of Craig, but the biggest failing is in not defining what God is supposed to mean in the debate question.
Is it God as the stand in term for any all sort of prime mover be they conscious entity doted of will or unspecified particle? Is it God as in a anthropomorphic, omnipotent, omniscient, omnibenevolent super being? Is it some sort of superhuman? Is it some sort of king with absolute power over all his subjects and an object of veneration and worship? In other words, in a debate with no clear definition on the existence of a vague concept you can indeed get two people talking passed each others and it is the case in this example. That's not so much a failing of the debater more than a failure of the organizer.
You are trying to create a distinction that Hitchens himself never tried to make in the debate. Likely because he knew full well the debate was really about the general concept of theism vs atheism, and not about whether or not the Christian God specifically is true.
This is not unexpected considering that Hitchens is a general atheist against all theism, not just an anti-christian.
The debate is not titled "Is the Christian God true?", for a reason.
There is no doubt a reason you have a generic title like "Does god exist?"