Whether you're talking about MeToo or Black Lives Matter, people looking for excuses to dismiss them will find them easily enough, but that doesn't mean much. And in America's hyper-polarized society, the one political side souring on such a movement and starting to attack it almost guarantees that the other side will only find itself warming more to it (sort of like how Democratic and Republican voters radically changed their views on the FBI or on Russia in opposite directions at more or less the same time).
Though the difference between the two is that 'the MeToo movement' isn't even really an organized movement at all, so trying to narrow it down to this or that controversial position makes even less sense than it does with BLM.
As for closing the enthusiasm gap - we'll have to wait and see for the elections, but it doesn't seem to have made much of a difference compared to the trends you'd have seen in any case? The numbers look a bit worse for Democrats now, sure, but it was always likely to go in that direction in the home stretch of the campaign unless they got some particularly good news or the Republicans some particularly bad.
Looks like the Democrats will win the House and regain a lot of lost ground in governor mansions and state legislatures, but not make any gains in the Senate. Though then again, with that historically awful Senate map for the Dems, that's not a bad result. In the long run, who knows, they might even be happy that they didn't get President Clinton in 2016, since that would almost certainly have led to a historical walloping in 2018 that could easily have put the Senate into solid Republican control until 2024 if not longer.