This answer was given to me by Mark Wibrow (thank you Mark!). I'm quoting it here for future reference:
If you just want to eliminate the split line then try using the rectangle split draw splits key:
\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{shapes.multipart}
\begin{document}
\begin{tikzpicture}[every node/.style={draw, anchor=text, rectangle split,rectangle split parts=3}]
\node {text \nodepart{second} \nodepart{third}third};
\node [rectangle split ignore empty parts] at (2,0)
{text \nodepart{second} \nodepart{third}third};
\end{tikzpicture}
\begin{tikzpicture}[every node/.style={draw, anchor=text, rectangle split,rectangle split parts=3, rectangle split draw splits=false}]
\node {text \nodepart{second} \nodepart{third}third};
\node [rectangle split ignore empty parts] at (2,0)
{text \nodepart{second} \nodepart{third}third};
\end{tikzpicture}
\end{document}
10101button in the editor. – Jake Apr 12 '11 at 6:55