The comment package allows you to (re)define comment environments. So, include the following in your document preamble:
\usepackage{comment}% http://ctan.org/pkg/comment
\excludecomment{verbatim}
which should exclude verbatim environment content from your document. If you want to include all the verbatim content again (for the longer version of your article, comment out the \excludecomment{verbatim} line.
For a more piece-meal approach to removing verbatim content, the following is possible:

\documentclass{article}
\usepackage{comment}% http://ctan.org/pkg/comment
\begin{document}
\begingroup
\excludecomment{verbatim}
A
\begin{verbatim}
&^_%\{}
\end{verbatim}
B
\endgroup
A
\begin{verbatim}
&^_%\{}
\end{verbatim}
B
\end{document}
Another mild alternative to comment would be to gobble the environment contents using environ. The following is not heavily tested, but works:

\documentclass{article}
\usepackage{environ}% http://ctan.org/pkg/environ
\makeatletter
\newcommand{\voidenvironment}[1]{%
\expandafter\providecommand\csname env@#1@save@env\endcsname{}%
\expandafter\providecommand\csname env@#1@process\endcsname{}%
\@ifundefined{#1}{}{\RenewEnviron{#1}{}}%
}
\makeatother
\begin{document}
\begingroup
\voidenvironment{verbatim}%
A
\begin{verbatim}
&^_%\{}
\end{verbatim}
B
\endgroup
A
\begin{verbatim}
&^_%\{}
\end{verbatim}
B
\end{document}
Note the difference in output. After verbatim is gobbled, there's technically only a line-break (space) between A and B.