1. Democratic and Whig parties
Here is where my initial reply, that the bolded sentence might not be the thesis of the passage and merely a starting point (or introductory sentence, to quote the instructions), is illustrated. I also don't feel that the bolded sentence here is the thesis, but I will agree that this is a main theme of the passage and provides a starting point for the summary.
(1) I think you mistake the idea of party development with the idea of party "founding" (gah can't think of a better word for the "birth" of a party). To me it's clear that the passage describes how the two parties evolved in that time in US history, which is why "development" is a good word to describe this whole process.
(2) You are very right, but that is a minor point. As the directions state, you shouldn't select answer choices that correspond to minor ideas. The education issue is only mentioned once in the sentence you quoted, making it a minor point.
2. Facial expressions and emotions
Yup, you are again right - and again, this is just a starting point for the summary, it's not meant to be the thesis statement or the overall summary. I actually think that you should avoid thinking about the bolded sentence as the thesis or the topic sentence. Sometimes it could be, but other times it's just what the instructions indicate, i.e. an introductory sentence.
(1) This is only briefly mentioned in the passage. It's a minor point.
(2) I think this is a pretty accurate summary of the second part of the passage, where the author discusses this "feedback" mechanism. In fact if we look at the first part of the text, this is also somewhat implied through the fact that facial expressions depict emotions, leading us to believe there is a link between them.
(3) Don't think I've read this in the passage.
(4) This is true and it is explained in the first and second paragraphs, where they explain all those experiments with photos.
(5) This is a trap. It was Darwin who believed that, not Ekman - or at least that's what the passage tells us, we don't know if Ekman believed that or not.
(6) Again, this is one of the ideas highlighted in the second part of the passage, particularly in the cartoons experiment and what's immediately before that.
I wonder whether you're not overanalyzing this... In general TOEFL passages aren't as complicated as GMAT passages and usually if you stop to ponder on the minutiae you might be doing yourself more harm than good.