“They have developed a governing philosophy that is so fanatically anti-investment that they literally have at their doorstop death. There is no exaggeration in this.
First of all, I believe doorstop is a typo, it should be spelled doorstep; the step leading to or the threshold of one's home.
The above phrase suggests that it is a variation of the theme, at death's door, used especially in those instances when a person falls gravely ill and could die from one day to the next.
It can also be used to emphasize and exaggerate the possibility of death that one may or might have faced, a sort of hyperbole.
at death's door
very near the end of one's life. (Often an exaggeration.)
e.g. I was so ill
that I was at death's door for three days.
In the Time article, the president of the Agenda Project Action Fund, Erica Payne, is accusing the Republican Party of cutting fund research for the Ebola vaccine during the "10-year slide". Consequently, she claims that the Party's inactivity is responsible for the Ebola crisis that is currently on the verge (at the doorstep) of striking the US.
Sources: The Free Dictionary and Time.com