Wrong.
The Founders did not trust a federal level government after the problems they had with the British government.
The constantly said so, and created the Articles of Confederation first, as a trial in setting such extreme limits on the federal government, that it was totally unworkable.
The Constitution was only slightly more lax in allowing the federal government power, but still was intended to be strongly restricted.
The obvious example is that there was at first to be no standing federal army, and even in the Civil War, it was still the states that owned, armed, uniformed, and paid the different divisions that were temporarily put under federal control.