Because fighting should be the last resort. If you are persevering enough, then diplomacy is enough to resolve most conflicts of interest. Way cheaper and nicer than warfare (and maybe more successful). The "problem" is, it's boring and compromises might come across as bending to the other's will (even though it's not).
I don't think they should wage war, but couldn't they put economic pressure on the US? Revoke the Nobel Peace Prize? Put pressure on the US via the UN?