I ask a questions a little similar to the following ones:
Importing single symbols in the sense of "How does the assignment work?"
So the question I asked in the comments of the latter question - how to shear a symbol - I figured out already. And I think it did not hurt the font too much - see below (except the dot on the j.
\documentclass{article}
\usepackage{tikz}
\DeclareFontEncoding{LS1}{}{}
\DeclareFontSubstitution{LS1}{stix}{m}{n}
\DeclareSymbolFont{stixsymbols}{LS1}{stixscr}{m}{n}
\SetSymbolFont{stixsymbols}{bold}{LS1}{stixscr}{b}{n}
\DeclareMathSymbol{\kkk}{\mathalpha}{stixsymbols}{"6B}
\DeclareMathSymbol{\jjj}{\mathalpha}{stixsymbols}{"6A}
\DeclareMathSymbol{\hhh}{\mathalpha}{stixsymbols}{'150}
\DeclareMathSymbol{\ppp}{\mathalpha}{stixsymbols}{"70}
\DeclareMathSymbol{\ggg}{\mathalpha}{stixsymbols}{'147}
\begin{document}
$k$
\begin{tikzpicture}[baseline=-0.67ex]
\begin{scope}[xslant=-.25] % Sets the coordinate trafo matrix entries.
\node[transform shape] at (0,0) {$\kay\jjj\hhh\ggg\ppp$};
\end{scope}
\end{tikzpicture}$k$
\end{document}
So now I wonder: 1. How to already define the new letters slanted? 2. How to avoid the extra gap coming from applying tikz? 3. How to avoid the modified baseline?

\slantbox): http://tex.stackexchange.com/questions/210870/slanted-text-to-the-left and http://tex.stackexchange.com/questions/208426/how-do-i-display-pi-in-latex-like-don and http://tex.stackexchange.com/questions/192620/plot-3d-stacked-squares-with-shadow – Steven B. Segletes Dec 24 '14 at 14:35