I've got most of the weird character styles merged and/or deleted. Now, I'm trying to figure out how to get rid of the <div id=...></div> things. I guess if I assume there aren't nested divs within them, I won't have to worry about the </div> tag being for the wrong starting <div> and a regex search/replace would work.
And, after looking more closely at things, along with every paragraph being set as a block with <div id=...>, it looks like they're additionally set as a block with "display: block;" inside the paragraph styles.