How I can Install Che IDE without Docker?
You have two alternatives OpenShift https://www.eclipse.org/che/docs/openshift-single-user.html and Kubernetes https://www.eclipse.org/che/docs/kubernetes-single-user.html
This is not an answer, because in my case any layers (like docker, kibe and osh) is big overhead for my working system environment.
Unfortunately, now only Docker, OpenShift, Kubernetes are officially supported infrastructure. You have to select one of them or write your own infrastructure implementation. AFAIK there are no plans to extend this list.