Adams wins second term. Repercussions?

Let's just say that John Adams wins reelection in 1800 somehow. The federalists are more organized, Burr's politicking in NY is less successful, Hamilton is less malicious towards him, whatever. What effects would this have on the nation and how would the Dem Reps. react?
 
He's going to have a lot of trouble with a Congress dominated by the Democratic-Republicans. In particular, the House of Representatives of 1801-3 according to https://en.wikipedia.org/wiki/Party_divisions_of_United_States_Congresses was 68-38 D-R over Federalists! That is way too large a margin for a narrow Adams victory for the presidency to overcome.

Probably the most plausible way for Adams to win, incidentally, is for Governor John Jay of New York to go along with Hamilton's plan: "Convene a special session of the *old* legislature, which had a Federalist majority. Have it change the law to provide for popular election of the state's presidential electors by district. That way the Federalists were sure to get some electoral votes out of the state." https://groups.google.com/d/msg/soc.history.what-if/0b_BNLYJaEg/XQeYVRI5MYkJ As I wrote in that post, "...let's say it works as I proposed: Adams is narrowly elected President for a second term with Pinckney Vice President. The Republicans are going to be bitter. They will point out that they would no doubt have won more votes in Pennsylvania if a deadlock between the two houses of the legislature had not required the selection of an almost evenly balanced slate of electors from that state (8 to Jefferson, 7 to Adams). In the election of 1796 Jefferson won 14 of Pennsylvania's 15 electoral votes, in 1799 the Republicans had won the governorship, and in 1800, they won 10 of the state's 13 districts in the congressional elections; so the state's electoral vote in 1800 clearly did not reflect the real strength of parties. And then to top it off, the rules were changed to the Republicans' disadvantage in New York. (Federalists would reply that the Republicans benefited unduly from the three-fifths rule which made a Southern vote count more than a Northern one.) Adams is going to have a great deal of trouble with the Republican-dominated Congress..."
 
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