My dad said that one hard part about the tariffs is that American suppliers are increasing their prices. For example, he said that if an American supplier could sell a part for $10 and a foreign supplier for $5, but the tariffs made the cost of the foreign supplier's part $15, then the American supplier would raise the price to $14.99 to get more money. However, shouldn't the new equilibrium price be lower, unless demand was through the roof? It seems very unlikely that the new, efficient price is a penny less than the new price for foreign goods.
You are correct for the most part Evan. If domestic production is more expensive then foreign production before the tariffs, domestic producers only have to beat the foreign price after the tariff. To make matters worse, there could effectively be a price floor installed with a tariff as domestic producers only have to have prices as low as the foreign products ($15 in your example). This creates a shortage, which not only increases prices, but reduces the quantity of the good (and standard of living alongside it).