Right now he's getting the law enforcement on his side, so he's got that going for him.
Yeah, I wouldn't suggest killing the host just to get the demon inside.
If it can kill Logan and make him stay dead, I'm even more worried about that thing now. I haven't been here long enough to vet everyone, I know people from my world, and the Asgardians. Loki might be able to rig up some kind of cage?