I think you have misunderstood the mechanism by which these experiments are undertaken:
A human can not directly observe a sub-atomic interaction unless light is emitted from it in the visible range of the electromagnetic spectrum. For most subatomic interactions the energy involved means the de Broglie wavelength is too short for the radiation to be visible. To that end, indirect observations are made.
A fine example is that of observing the path of neutrinos. These can not be directly observed due to the fact that they interact extremely weakly with matter. A facility buried in a water-filled mountain has observed neutrinos from the sun, however, and shown their existence. This was achieved by observing the ionising effect of the neutrino on the nucleus of an atom which normally decays by emitting beta radiation. The ionised atom released a positron, which collided with an orbital electron and annihilation occured. The gamma radiation that was emitted was detected. Bubble chambers also work in an indirect way.
No sub-atomic effects can be directly observed by humans. Fact.
The only reason a difference in results could occur is if the machine was averaging the results in a 'principal of equivelence' style, and the human observation was of one particular results. According to Heisenburg's uncertainty principal, the observation of a particle will change its state such that information about the particle can never be fully known. This is another fact that has been proven and used in modern electronics (the LED relies on quantum tunnelling, which is only possible due to the uncertainty principal).
Be careful, God has no place in quantum mechanics. Quantum mechanics is about random probabilities, and 'God doesn't play dice'. There was a famous film called 'what the **** do we know' in which quantum mechanics was supposed to be responsible for supernatural occurances. This film was ridiculed by the science community and, 2005, was voted as the most inaccurate scientific film of all time. This is NOT a case of science saying 'there is no God' but a case of science saying 'don't be so stupid, you have no idea what you are talking about. Go and eat your biscuits'.
So, if you are TRULY interested in God, go to a church. If you are TRULY interested in science, go to university. If you want to unite the two, go start a cult and earn money off of other people's stupidity.
And that's all I have to say about that.
Additional details:
I am well aware of the double slit experiment you are talking about. It makes no difference, human interaction is not a factor as humans can't directly observe the results anyway.
More to the point, I resent the implication that I regard people who believe in God to believe in 'a man on a throne'. As an open minded physicist I am well aware that the concept of God is much deeper than that. I understand some people believe that the manipulation of quantum probabilities to perform 'miracles' (occurances that would otherwise be impossible according to the principal of equivelence') can be thought of as 'God'. I know that consciousness has not yet been attributed to anything physical and I understand why people may find the need to attribute this conciousness to something separate from the 'normal' description of the universe. None of this is in dispute. Panthiests believe that God is in all things as a spirit, a supernatural force permeating through the universe. If that is what you want to believe, that is fine. I have my own beliefs but I can tell you now that as a physicist QUANTUM MECHANICS HAS NOTHING TO DO WITH GOD.
There is nothing in the realm of quantum mechanics without mathematical description. For that reason, God (in whatever form) is a totally separate issue.
The experiment you are describing is flawed. Fact. The indirect mechanism by which results are taken, whether read by a human or by a machine, all depend upon Heisenburg's uncertainty principal. Fact. The differences in the results average out as is dictated by the principal of equivelence. Fact.
No physics laws are violated. No mathematics is in error. The same physics laws that were written in the 1940s STILL hold true. These laws do not include a 'God' function or variable. The universe is totally predictable within the bounds of the uncertainty principal. Fact.
These are not 'just theories' or 'theories with holes in it', these are fundimental facts which have been proven again and again. Moreover, nowhere in these theories is there the possibility or plausibility of spirit, mind, soul, God or conciousness of any kind.
If you want to study these issues, study philosophy. Philosophy is the study of the truth. Physics (including quantum mechanics) is the study of FACT.
I am not 'plain stupid'. On the contrary, I believe you are embarasing yourself.
This is, of course, my belief. You can believe whatever you want, irrespective of facts.