It would have made some people on DU feel good, but it would have given a lot of moderates out there the impression that Democrats were being vindictive. Many Democrats, including myself, feel strongly that it is wrong to use impeachment for political purposes, and impeaching George W. Bush would have appeared political to a huge part of the electorate. Nancy Pelosi chose to focus on getting legislation passed. That is why she is the leader of the House Democrats. She is extremely effective in passing Democratic legislation, and stopping Republican legislation, within the limits of what is mathematically possible.
I don't think it's good to imitate the Republicans. Their base is dominated by stupid and uneducated people. If Democrats started acting like Republicans and imitated their behavior on Benghazi, much of the Democratic base would become disillusioned with politics completely and stop voting altoghether.
Frankly, if it weren't Pelosi's comment about impeachment, it would be something else. Those who hated Hillary claimed they would be all for her if it weren't for her Iraq war vote. Yeah, let's just ignore 99% of a politician's positions and focus on the one thing she did that we don't agree with, to the exclusion of everything else. When people hate women, they always find something to latch on to. That kind of attitude is what gave us President Trump. I'm sorry, but I have no tolerance left for sexists who pretend that they're not sexist, just purer and better than everyone else. 
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