I currently have Apache 1.3 with mod_ssl running and would like to upgrade to version 2.0 and be able to keep the secure sockets connectivity intact.

Am I correct in saying that in order to so, I should be able to download the latest version of Apache. After that run the configure script with the appropriate options, and then run make and make install which will leave the current configuration intact? Thanks.

That should work. You can and should put the new Apache into a different directory (/usr/local/apache2 being the standard location). You'll need the --with-ssl=/path/to/your/ssl to get the SSL stuff to work, Then you can set up the Apache2 config file to point to your document root, use the old apachectl script to stop your old Apache, and then use the Apache2 apachectl to start Apache2. If something goes wrong, you can just switch back to your old Apache until you figure it out. One note, though, be sure to modify your init scripts to start the new Apache instead of the old one.