That's a huge chunk of text. I'll answer as best as I am aware of.
The ululation does sound like a Husky. The chewing is just dog behavior, you should be able to train that.
Food snatching sounds like just dog behavior. (By the way, what I mean by dog behavior is untrained dogs.. your dogs were trained well so they don't do these, but would if you didn't train).
Same with chewing Rae's toys. Dog behavior, trainable.
Going after Chihuaha's sounds like poor socialization, not a prey drive. But it could be, I suppose. My Siberian will annoy the heck out of my cat but my cat fights back to him (a good sharp swats gets him away). Chi's are smaller and not as capable of fighting as cats are.
Siberians will usually want to be in the same area (visual or audible area) you are in 24/7, they are extreme pack animals. My Siberian will lay in the corner of the room, but there are some cuddly Siberians. Some are bad like mine as such I can't leave him on my upstairs patio which has a large window to the kitchen, the fact there's a closed door between us bothers him. Other dogs will be fine just seeing you through a window. Others need to be leaning on you all the time.
The bolting out of the door does sound like Siberian behavior. It's not that they are trying to escape from you, though. More likely he thinks you will go running with him (and you probably do, chasing him to get him back) instead of what you're actually doing.
My Siberian refused to sleep anywhere except the floor for the first two months I had him. Slowly he moved closer and closer to the bed, then he slept on the bed for about 30 minutes then moved to the floor again. Nowdays he sleeps on my bed the whole night unless I kick him off by accident. Could be similar.
It was really easy for me to train my mother's GSD and my father's Labs. My Sib was hard to train. Siberians are known to "shut down" from overly harsh criticism. I had to get rid of my electric fence because when he got shocked, he was terrified to go outside and just shut down anytime i made any indication of going outside, would stay in the center of the house furthest away from the fence and not budge for 8 hours.
If I shouted "Hey!" at him he'd tuck his tail and cower from me. So I learned to keep my criticism light hearted and it worked just as well.
For training is he food or toy motivated? Siberians will rarely follow a command if they don't think there's a good reason to follow it. My dog won't sit unless I say it VERY sternly or have a treat in hand. But I reserve the stern tone for important things otherwise he will probably take it too lightly because it's so common it doesn't matter.
It took a few months for my Siberian to start to let me run the house. Rescue dogs need time to settle in.
I'm SHVar will correct a lot of things I say and add a lot more so come back later!