I don't suggest breaking up your main sector. There is absolutely no need for that now-a-days. If you want a quick fix without a cog, create a new dflt.mat that you can use for the time being. Just a simple 32x32 texture. Next, create another 16x16 texture, but this time just flood fill it black. Finally, use JKPaint to add the black texture as a mip to your new dflt texture.
Give all of your new models this mat. Play it once to see it in action. When it gets to the first mip change distance, the 3do's will begin disappearing. Exit and adjust it to where you want it.
If you want something with a little more "effect", create you can create a new dflt.mat that's 32x32, another version of that that's 33% Blue that's 16x16, another vrsion of is that's 66% blue that's 8x8, and then the 4x4 black transparent texture.
It'll make them look like their "culling" into the atmosphere.