When I tried to understand the dysfunctional Belgian parliament a couple of years ago, my Belgian friend Anthony posted a video that made a very complex situation perfectly clear!
When I tried to explain the dysfunctional US Congress and the probable shutdown of the US government, yesterday, I realized my explanation for why he, Anthony, (and the rest of the world) should be concerned fell well short of a clarification.
Here is a pictorial explanation, Anthony, starting with the Democratic Party point of view of the probable US governmental shutdown crisis:

…as viewed by Democrats
There. Keep that image in mind when comparing the Republican point of view with that of the Democrats:

…as viewed by the Republicans
Of course, there is a significant subset within the traditional (rational) Republican party, the Tea Party. Here is their point of view:

…as viewed by the TPers
There! Though it seems desperate, the three political elements of this crisis actually aren’t all that far apart in their respective points of view!
I hope this is more clear, Anthony. (As a guy who appreciates his maths, I hope you like how I threw in a little maths jargon for your amusement!)