Final answer:
Republican values influenced American life by promoting limited federal government, state rights, and agrarian interests, which were significant during Jefferson's presidency. The blending of Federalist and Democratic-Republican ideas contributed to the 'Era of Good Feelings', and the Market Revolution caused economic and social changes.
Step-by-step explanation:
The effects of republican values on American life in the period 1790-1823 can be seen in various aspects of that era's sociopolitical landscape. With the dominance of the Federalist Party in the 1790s and the subsequent rise of the Democratic-Republicans, led by Thomas Jefferson, there was a clear shift towards a government with limited federal powers and an increased focus on states' rights.
This was exemplified by the 'Revolution of 1800', which led to a decrease in federal taxation, a reduction in the military, and supported the agrarian-based vision of society. The growth of partisan politics, particularly following the War of 1812, led to an acknowledgment that some Federalist policies were beneficial for the nation. This resulted in a blend of ideas and the ushering in of the 'Era of Good Feelings' under James Madison, highlighting a sense of political unity and nationalism. Furthermore, the Market Revolution greatly influenced American life by shifting economic dynamics and widening the social gap between the North and the South.