I don't recommend that joystick. It is generally disliked, there are many discussions about it. Even with the microswitches, it's still a poor quality joystick.

I built an adapter to use original original C64/Atari joysticks, and it also works well with arcade sticks. I use this one:

https://www.amazon.com/gp/product/B0015PHMFU/

Well, there are ways to search for that:

https://www.amazon.com/gp/search/ref=sr_nr_p_36_4?rnid=386453011&keywords=arcade+joystick&rh=n%3A468642%2Cn%3A471304%2Ck%3Aarcade+joystick%2Cp_36%3A1000-4000%2Cp_85%3A2470955011&sort=price-desc-rank&qid=1510860917&low-price=&high-price=36.88

Some results that stuck out to me:

https://www.amazon.com/Mayflash-Universal-Arcade-Fighting-playstation-3/dp/B0015PHMFU/

https://www.amazon.com/SUNCHI-Fighting-Joystick-Controller-Smartphone/dp/B0761783FQ/

https://www.amazon.com/ASCII-Stick-Sega-Saturn/dp/B00004SW0Q/

This may sound kinda kooky, but have you thought of maybe a fighter stick (arcade controller)? I'm sure there's some software out there that can map stick movements to act like a mouse and then the big joystick handle and large buttons should be good with limited movement.

Something like this