In the Brendan Eich case (and yes, I know that's not the same as Ms. Rice) his only objectionable actions were to contribute a small amount to a political campaign and to not publicly repudiate that donation. That case was 100% about political beliefs.

In the case of Condoleezza Rice, there are plenty of actions to object to including undermining human rights and helping to wage wars. By all means, prosecute Ms. Rice for violations of human rights and then ban her from the board as a convicted felon. I wouldn't even mind an outcry against her participation on Dropbox's board because of her stance on government surveillance of data storage companies. But to me, an outcry against her for war crimes smells of overdone politics.

That being said... I don't mind any person choosing to boycott a company for any reason they choose (including association with Ms. Rice). What I object to is a hue and cry that effectively blacklists her (and others) for their political beliefs.