Yes, you have to have some common standards which undercut a race to the bottom, otherwise countries will compete by undermining each others protection and welfare systems.
But you're implying that Trump believes this? Trump has always struck me as a 'cut regulation at all costs' candidate. And the real deal which must make this work will have to be international - perhaps to build these common standards into the trade deals. But Trump again stands directly opposed to that, he wants a 'my country first, beggar thy neighbour' solution, which cannot be sustained.