The use of "God" instead of "gods" is just a mistake in the acting that wasn't spotted in editing. As a pilot, the Miniseries is riddled with mistakes, but it's understandable. Felix Gaeta's name is mispronounced many times by people who supposedly had been in CIC with him for years, Tigh at one point says "Jesus".
Also, in the first episode, "33", Baltar uses the incorrect term "radio" instead of "wireless".
In the miniseries there are even some not-so-obvious ones. One is where Tyrol has spent a long time aboard Ragnar Anchorage, yet (although he is a Cylon), he has not succumbed to the radiation of Ragnar. It is possible, though, that he was protected by Galactica's radiation shielding at the start, and didn't spend enough time aboard RA to become affected, (and the fact that he is different from the Superior Seven Cylons).
Rookies! Just joking. As you get familiar with the site you will find entire topics dedicated to the mistakes on this show and everything that we have discussed to date. I don't think I entirely agree with you in regard to God and Gods. But I do agree with some of the inconsistencies in this series. The theory about Tigh is that A: he is a hybrid and therefore not prone to the radiation like the others. B: That he was still human at the time and was later replaced by a Cylon duplicate and is still on New Carpica along with Kara, and Anders. C: it is just a plot error because they didn't know who was going to be a Cylon at the time and therefore there are these inconsistencies.