That's correct.
Below is a link that should answer more of your questions. This is a very large site, with lots of information. The War is really misunderstood by most people. After being fed the winners side throught my school years, I found things to be quite different a couple of years ago. The facts and information are out there, you just have to look for them.
I don't think that is correct. Washington federalized the Pennsylvania militia to put down the Whiskey Rebellion. Federal militia units were also federalized for the War of 1812 and the Mexican War.