You don't want to select the stylesheet to be applied in a link from the source document, you want to select it from script on your HTML page. For a cross-browser API for invoking XSLT transformations, see Sarissa on Sourceforge.
Rather than using different XSLT stylesheets, you probably want to invoke the same XSLT stylesheet with a parameter.
Michael Kay
http://www.saxonica.com/
Author, XSLT Programmer's Reference and XPath 2.0 Programmer's Reference