ST to ST line (and other base models like mine) all have interchangeable suspension bits. In the rear the ST twist beam is stiffer than the base and has pads and rotors vs drums on base models. The SE rear beam has a touch more negative camber from factory apparently too. The shocks and springs are stiffer on the ST model but they are interchangeable with the base. I have swift springs that were designed for the SE and they fit my base shocks just fine. Same in the rear, there was no issue. Even the spring pad is exactly the same.
In the front end, the front knuckles on the ST have a different tie rod mounting point, it is closer to the center of the knuckle for better steering input. I've read some posts that say brakes from an ST and base are interchangeable but also read some that say they are not. When I have time, I would rather just do the whole knuckle with brakes. Bigger pads and rotors will add more un sprung weight but I think the added life span from better heat dissipation will be worth it.
fun fact; Hawk makes endurance brake pads for the base model brakes but not for the ST brakes. But there is overall more pad options for the ST brakes.