'that' of the usage of expressing a result or degree

1) Minority voices can be heard sufficiently clearly that the prevailing majority opinion can be changed.
2) I slept enough that I was able to wake up in time.
3) The author believed that the phrases connected by 'and' were short enough that a comma was unnecessary to make the groupings of words clear.
4) Is the crown too heavy that I wear? (in "Moby Dick")
5) She started slipping and falling down when the photographer grabbed her but she was too heavy that he couldn't pull her from the edge. (http://www.dailymail.co.uk/news/arti...waterfall.html)

1. In the above sentences, all 'that' is used to express a result or degree; am I right?
2. In #2, the phrase "to make the groupings of words clear"express a degree; am I right?
3. Do people use the structure 'too~that' as used in #4, #5?

Thank you in advance for your help