People are dying in Ukraine not because the US is increasing its weapons production, but because Russia has been attacking Ukraine for three years with all possible weapons, except nuclear weapons, and Ukrainians have to defend themselves.
Russia, which unleashed the largest and bloodiest war since World War II in the very center of Europe, has caused a response in European countries and beyond in the form of rearmament and the buildup of their own armed forces. This is quite natural, since the danger of military invasions into other countries has increased sharply from Russia.
Poland, for example, has given Ukraine its old Soviet MIG aircraft, receiving F-16s from the US, as well as Soviet tanks, receiving more advanced British armored vehicles in return. The same thing is happening with other European countries. This is also beneficial to Ukraine, because they are familiar with Soviet equipment and do not need to waste time retraining for NATO equipment. Now most of the Soviet weapons are transferred from European countries to Ukraine, in exchange they receive more precise and more advanced equipment from NATO countries.
This process is also beneficial to the US military-industrial complex. Their products are in high demand on the world market, including because Russian military equipment has not shown its best side on the battlefield in Ukraine. So Russia's attack on Ukraine has caused a rapid arms race.