as long as you extend the legs out enough that they firmly plant on the ground, it shouldn't be wobbly.
Some troubleshooting - your carpeting. If you have thick carpet and lots of spongy padding under it, no matter what you have, it's going to rock and wobble. it looks like you have a drum rug on top of your home carpeting, which is going to significantly decrease your hardware stabilization. It'll even affect the bass pedals and how firm the bass trigger pads are. As a harder hitting metal drummer, I'd hate that. I want my gear to stay put and I don't want to worry about it creeping, or loosing efficient energy return due to wobbly kick pad assemblies.
Here's what I'd do. Lay down a sheet of plywood... They also make this wood flooring for basements that has a waffled plastic surface on the bottom. It's like 24"x24" paneling that links together. Whatever wood you lay down, then put your rug on top of it. Not only should this help stabilize your gear and eliminate distractions for your tracking drummers, it should also protect you home carpet. With just a drum rug, your kick spurs (the spikes on the kick trigger that stabilize and prevent creeping) will poke through your rug and tear up your carpet.
Another thing - looking at the photo, you've got to slide your tom mounts left ward, much closer to the left leg of the rack (left from the drummer's point of view). OR - swing the left lateral rack bar clock wise, allowing you to move the stand rightward. Either way, that'll allow you to then move the hi-hat stand closer to the left slave pedal of your double pedal. Your feet wont have to move as far between pedals. It'll also make your cross sticking (right hand on the hats) easier because as it is, the gap between your snare/rack tom and hats is HUGE!
Also, before you make those rack adjustments, adjust your double pedal width - unlock the drum key set screws on the connecting u-joint bar between the pedals and telescope them out. Imagine a standard 14" snare between your knees - that's usually dictates pedal width, and that's what all drummers are going to be used to. By the photo, it looks like you haven't telescoped out the rod yet. After doing this (mine is at 18", which is about as narrow as you'd go. When I play two kicks, if I measured between my two single pedals, i'd have more like a 21" gap), then center the snare between the two pedals. Once you have that "Triangle" home base set up, then consider where the triangle needs to be in relation to the rack. if you're going to have a lot of gear to the right, then move the triangle left ward so that you can mount a lot of gear to the right (which will also bring you closer to the hi-hat stand mentioned above).
I'll have to get a sample to post, but earlier this year, I tracked drums for a friend, using a v-drum kit and real cymbals. If you're willing to spend money on real cymbals (which, are harder to replicate with triggers), then I'd do that. You can then dedicate your cymbal triggers for other sounds, be them more toms, death toms, triangles, tambourines, wood blocks, etc etc etc. anyway, that's what we did, and it sounds pretty good.
EDIT - i'd just swing the lateral rack bar out clockwise.... then pull the hats in to the right. if you have cymbal boom arms, moving that cymbal stand away won't be and issue, as you can just boom the cymbal into place. This way, you dont' have to mess with relocating the snare mount, and dealing with the interfering middle post that would block you from moving your main drum pedal to the left. re-clock the rack bar and all of those things stay put.