Especially in the USA, the President is a figurehead to inspire hope and the soft power of the USA. So persons such as Pelosi are definitely required to work mainly behind the scenes in counting votes and (when required) making back room deals and twisting arms since the democratic process is far from perfect.

I would hope that the next president can try to drag both sides back closer to the centre and manage to get things doe rather than beating their chests and blocking "the other". The USA has significant issues to address at home (such as Infrastructure and prison reform - perhaps spend money from the latter on the former) for two relatively non-contentious ones; a coherent foreign policy might be a nice change as well which stops turning taxpayers dollars in to brown corpses.