Disagree. If Lee had stopped attacking after Day 2, history still would have been different, and he wouldn’t have lost a whole bunch of casualties on Day 3.
And besides, the war was basically lost when Grant took Vicksburg - the next day [July 4th]
Maybe our Constitution would still mean what it says...and maybe not... John Adams packed the federal courts after his loss to Jefferson but before his term was up. One of his liberal appointees was Marbury of Marbury v. Madison, possibly the greatest cause of our Constitution's demise. Once again, just conjecture.