The issue is, how exactly will more restrictive voter ID laws and red tape bullshit going to stop "The other party" from cheating anyway?
It's not. And neither will any other amount of laws or technological advancement.
I am not an expert on U.S. elections, but from a general point of view I would say it makes more sense to let individual states and local districts manage election systems rather than the federal government. There should be election observers from all parties involved at every major polling station and no intimidation in front of those places by authorities.
That way, they can observe each other. There should be no counting before polling stations close, and again, observers from each party should be present. Vote by mail should require both ID and a signature.
I think an election of this size cannot be held without some irregularities. However, i don't think mistakes (or cheating) large enough to change the outcome of an election have happened yet.
Another inevitable phenomenon these days is the flood of live reports on social media about irregularities on election day. Since it is nearly impossible to tell what is true and what is false in real time, I'd advice everyone to ignore them.