Latex2html will not place 2 minipages side-by-side. I got the official response from Ross Moore on the latex2html list. He said that he did not bother to program a lookahead to see how to stack minipages. In effect you have to write htmlonly code to force a tabular environment around the minipages when using latex2html.
He kindly supplied sample LaTeX code for me to try. I will see if I can plug this into my LyX doc as ERT. I'll keep you posted regards John O'Gorman