The remedy for the Executive Branch breaking and/or not enforcing laws made by the Legislative Branch is supposed to be impeachment by congress.
The problem right now is that the Executive Branch is refusing to carry out the existing will of Congress. Passing more bills (that will be vetoed) to tell the executive to do its job isn't all that helpful.
At this point I think only the courts can save us, but I don't think we can rely on SCOTUS to do the right thing. And even if they did, they have no real teeth to force Trump to do anything.
I carefully think we are better off with Democrats controlling both (or at least one) houses of Congress, but that won't magically fix things.
How would/should our system recover if a President commits all sorts of crimes with the support of 34 senators?
(Bonus fun fact: The theoretical minimum popular support needed for 34 senators would be 3.6% of the population.)
Heck, if would be very difficult to craft any factual account of political events these days that Me-of-2005 wouldn't dismiss as mad ramblings.