whoops... i almost tried to link the other topic on this over here, until I realised you were the same person ?
So, yes, they will breed wild together. I wouldn't reccomend ruining a nice orange sakura line as well as good grade red cherries, although that's personal preference, and some people love neocaridina mischling tanks. They just don't last too long...
I would reccomend you do not put them in with the acara and gudgeon... that could get messy.
Honestly, I would keep them in the breeder until the mother pops and the shrimplets are able to grow up in the breeder. As for the betta, it's your job to figure out the behaviour and nature of your betta. If it's a male who flares 24/7... probably don't. If it's a very nice, gentle female who has a heavily planted tank, yeah, give it a go with the male first and see. If you aren't sure, pick up some low grade red cherries (I prefer using these for this job over ghost shrimp, because they have colour) and see what your betta thinks of them. It can be cruel though, and I personally would not put shrimp and a betta together - although this is beause I have enough tanks to avoid that.
Maybe your betta could go in with the acara/gudgeon/tetra tank for the meantime, if you really don't want the shrimp to stay in a breeder for very long? Depends on how many tetras you have, and whether the addition of the betta would make the tank overstocked, as well as the behaviour and attitude of the betta. In that case, the orange sakura could go in the betta tank. It's understandable though that you may not want to do that, though.
Really, the best option is to set up a new little 5 gallon planted tank for the orange sakuras. There you can have a healthy colony, with continual pure lineage, and nobody will snack on the baby shrimplets. That would be what I would do. It all depends on whether you can set up another tank though, really.
So I leave the thoughts of my brain for you to decipher and choose between. Feel free to ask some more questions. Good luck!