Factory Remote Start?
 

From the mazda rx8 features and specs page:

Start System? AKA remote start? This was my first lease and I missed my remote start dearly!

Nope....
 

No, sorry, it's an RF keyfob, the door locks pop up as you approach, just have it in your pocket.

S

You can't start the car without being inside it and turning the little knob where the key would normally go. You also have to have the little transmitter remote on you. Just make sure you don't have a pacemaker or you might kill yourself. :)

What they do in cadillacs is take that piece that senses the key out, and stick a valet key in it full time, and hide it up in the dash. So that transmitter always sees a key. Then when you hit the button it just cranks as normal, when you get in you put the real key in, and go. Good deal.

How much does a remote start go for these days in a stick?

It comes with the Grand Touring Package, so it's $4510 for the package. It's not an option otherwise.