Get a VPS that offers 2 or more IP addresses.
From the WHM cPanel, find the menu item Service Configuration, select Apache Configuration and then click on Reserved IPs Editor.
Tick the IP address you DON'T WANT Apache to listen to, and write it down so you can use it in the next step. Click Save.
Install Node.js, and create a server like this:
var http = require('http');
var server = http.createServer(function(req, res) {
res.writeHead(200);
res.end('Hello, world!');
});
server.listen(80, '111.111.111.111');
Replacing 111.111.111.111 with the IP address you previously reserved from the WHM cPanel.
Stop wasting your time and never listen to those telling you to use mod_rewrite to proxy Node.js again.
I did get it to work but then it broke my other websites as the IP's are shared, even though the removed IP is only a backup to the domains. It actually broke cPanel, email and root domain access on four websites until I set it back.
I am currently ordering 2 more IP's and will test on one of those.