  Sharp magnetization switching and large magnetoresistance were previously
discovered in single crystals of 2H-Fe$_x$TaS$_2$ and attributed to the Fe
superstructure and its defects. We report similar sharp switching in
1T-Fe$_x$TiS$_2$ ($0.086\;{\leq}\;x\;{\leq}0.703$) and the discovery of large
magnetoresistance. The switching field $H_s$ and magnetoresistance are similar
to 2H-Fe$_x$TaS$_2$, with a larger than expected bowtie magnetoresistance and a
sharp hysteresis loop. Despite previous reports, electron diffraction shows
only the $\sqrt{3}{\times}\sqrt{3}$ superstructure in 1T-Fe$_x$TiS$_2$. The
Curie and Weiss temperatures remain roughly constant below $x~\sim~1/3$ before
monotonically increasing for higher x. By contrast, the switching field and
magnetoresistance reach a maximum where defects in the superstructure exist,
approach a minimum near perfect superstructures, and remain constant above
$x~\sim~ 0.4$. Additionally, an increase in $H_s$ with annealing time is
reported. Glassy behavior is shown to coexist within the ferromagnetic state in
1T-Fe$_x$TiS$_2$ for compositions between $0.1$ and $0.703$. A simple model
captures the essential phenomenology and explains most similarities and
differences between 1T-Fe$_x$TiS$_2$ and 2H-Fe$_x$TaS$_2$, and provides
insights into other magnetically intercalated transition metal dichalcogenides.
