Ralph, when I joined Twitter for the last panel, last month, I was advised to watch the discussion with two windows at the same time, which turned out to be very useful. One window for your home Twitter page, and one to watch the hashtag itself (search the hashtag in the search box of that window).
The one for the hashtag will show everything posted in chronological order, so you can see each new comment as it happens, and also you will see comments made by people you aren't following (and thus you will know other people to follow).
The one for your own account will sort the comments into "conversations", so if someone comments in reply to something that was said two minutes ago, it will line it up under the previous comment so that you can follow questions and answers together.
This method (which took me 40 minutes of the last hour-long panel to figure out) seems to mitigate the confusion that would occur with either of the windows taken by itself.