Your questions are extremely vague, I think that is why you're not getting replies. Golden Tee could be a dedicated or in a multitude of converted cabs. Joystick mounting has been done on every project on the forum, and there are many different approaches depending on your needs.
Here is how I did my Sanwa balltop mount for a Defender/Stargate panel. Since I knew there was going to be an overlay over the panel and no access to the top afterward, I used T-Nuts. You drill, drop these in from the top, and they hook into the wood. In this case I needed a very low mounted stick to mimic Defender, so I also shimmed the stick down at the base.
Some people just put carriage bolts clear through the panel and don't care if they show. Many dedicated machines were done like this, including the dedicated Golden Tee Fore! games. I think with some pictures and a more concise description of what you're trying to accomplish you'll get a lot more help.