\ProvidesFile{testINT.tex}[2011/06/25 test ifnextok.sty]
\RequirePackage{ifnextok}
\makeatletter
  \providecommand\StripEsc{\expandafter\@gobble\string}
\makeatother
\catcode`\"\active \edef"{q}
\MakeNotSkipping{"}{\StripEsc\"}
\documentclass{article}
\begin{document}
\tableofcontents
\section{"a" b}
\thispagestyle{headings}
\markboth{}{"a" b}
"a" b
\typeout{"a" b}
\end{document}