virtualhost - Apache redirect seems to ignore ServerName

I have a couple virtual host files. The first one redirects all traffic for http://www.mysite.com to the https version:

   ServerName www.mysite.com
   Redirect permanent / https://www.mysite.com/




   ServerName www.mysite.com
   # additional configuration

The second defines a VirtualDocumentRoot so that sites in directories such as /var/www/www.othersite.com will be served.

    ServerAdmin webmaster@localhost
    VirtualDocumentRoot /var/www/%0

    VirtualScriptAlias  /var/www/%0/cgi-bin/

I also have NameVirtualHost definitions in the ports.conf file (in case that is helpful):

NameVirtualHost *:443
NameVirtualHost *:80

The problem is that all traffic seems to be redirected to https://www.mysite.com. I would expect that the ServerName www.mysite.com line in the first virtual host file would only match www.mysite.com so that visiting http://www.othersite.com would serve content from /var/www/www.othersite.com. When I comment out the entire port 80 VirtualHost definition from the first file, http://www.othersite.com loads as expected. Am I missing something here? How do I only redirect http to https for www.mysite.com?

Edit:

The reason I can't put the ServerName as http://www.othersite.com in the second VirtualHost definition is that there are multiple sites in /var/www that also need to be served.