  In this paper we introduce the study of mollified moments of quadratic
$L$-functions $L(s,\chi_{D})$ over function fields. Using the Ratios Conjecture
for quadratic Dirichlet $L$-functions over the rational function field
$\mathbb{F}_{q}(x)$, specifically the special cases of the Ratios Conjecture
that have been recently proven in this setting by Bui, Florea and Keating, we
compute the mollified first and second moments for this family of
$L$-functions. From the Katz and Sarnak density conjecture, it is expected that
$L(\tfrac{1}{2},\chi_{D})\neq 0$ for $100\%$ of the discriminants. As an
application of our mollified moment calculations, we prove that this is the
case.
