Does the constitution strictly and expressly forbid the federal government from taking an interest in domestic issues such as education and health services? Isn't it possible for a president to uphold the constitution while taking measures to build a stronger more united nation through education and human services?

I would have to conclude that since no president has been ran out of office for over-providing to the constituents, it is quite possible. However, it could be argued that there are presidents that did not win a consecutive term because they failed to adequately provide for the nation.
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Tent makers for Christie, 2016.