I'm no JavaScript expert (as jlp will point out), but I thought it was document.location = "foo".

GET requests are typically passed in the URL string. Look at the URL window right now and see something like ?node_id=24135. You could just append something like "?$name=$value" to your query string for the redirection, but watch out for quoting issues.

Personally, I'd handle it all in the CGI script:

use CGI;

my $q = CGI->new();

my $rbutton = $q->query('fred');

if ($rbutton eq 'is a loser') {
    fred_is_a_loser($q);
} elsif ($rbutton eq 'is a hero') {
    fred_is_a_hero($q);
} else {
    # who is fred?
    # or someone edited HTML locally
    default($q);
}
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The subroutines, of course, would do whatever your specific other scripts do.