If you're going to get an analog stick, I'd wait for a really good ebay deal on a Happ's one.
It's not the same as playing the ORIGINAL with a yoke, but it's exactly like playing the Trilogy machines with the Happ's stick on them.
The "any old analog stick" will feel like a cheap PC stick.
The Happ's stick FEELS like an arcade control, by comparison--but is still not a yoke.