Final answer:
The statement is True, President Madison did embrace nationalism and broad construction of the Constitution akin to Federalist policies after the War of 1812, adopting ideas such as a national bank, tariffs, and a strong military.
Step-by-step explanation:
The statement that, as a result of the War of 1812, President Madison embraced nationalism and broad construction of the Constitution, thus moving close to the old Federalist position, is true.
Post-war, President Madison and members of his party recognized the need for certain national institutions that were characteristic of Federalist policies. This included a new national bank, protective tariffs to foster American industry, and a professional standing army and navy to defend the nation as needed.
This shift towards Federalist ideals also led the nation towards the Era of Good Feelings, indicating an increase in national unity and the decline of the Federalist Party they once opposed.