Break open an EXE file?

Depends on the installer system used to package it. Universal Extractor can extract files from most common installer packages (Installshield, NSIS, Wise, among many others), although if you're on Vista or Windows 7 you may want to try installing the driver in compatibility mode.

Sometimes when you run those programs they extract their files to some temporary folder. Monitor data access by that program. Maybe it already extracts itself.

If you use Total Commander, hitting Ctrl + Page Down will show you the contents of the archive if the executable actually is an archive. It will be treated like a normal zip archive.

There's also a plugin for Total Commander called InstallExplorer used to view msi files as any regular archive.

If the file is a standard installer format, such as a .msi, there are programs available to extract it's contents, because it's an established installer file format.

However, if the installer is simply a standard .exe file you'll have to hack together a way to install it by stepping through the disassembly of the code and find the point where it detects if the driver is compatible with the computer, and then modifying that. However, doing this requires programming knowledge.

Unless Winzip is doing something weird that I don't know about-it will not be able to open a .exe (windows portable executable) file by interpreting it as a zip archive.