Greetings Cave88. Typically, during open enrollment there are few if any limitations on enrolling so you may want to do that with your wifes coverage at her work. Also, there is a change in status provision which will sometimes allow you to access her coverage at a time other than open enrollment.
While I have never been to the VA medical system as I have always had good insurance, I have had others tell me that as a Vietnam era veteran, I am eligible if I ever need it. I could also get prescriptions filled there with a limited copay. You might want to check it out.
Here's hoping that your job will not be lost and all this will be a moot point. David