Is this possible? Seems like I'm spending way too much time having to switch it back to the PC from the Inspector view every time I open it or change from track to track.

When hitting the tab for the PC hold ctrl and it will open all PCs in all the Inspectors. 

It should remember it's last setting. When changing tracks it should also follow it's previous setting. i.e. If you saved your template with the PC open in the inspector that is what should show when you open it. When you switch tracks it should do just that - switch not change display.
 
The inspector is also screenset specific so you have it set to default to clips in one and the Prochannel in another.
 
I'm not sure what is wrong if you don't see that behaviour. A locked screenset will produce the effect you are seeing so I'd check that first.
 

Thanks for the replies! I'll try to check this out this evening.

Sorry, due to the holidays, I have not had time to check these things. Hopefully I can in the next day or so.
I do know I have never messed with screensets at all. I've never even attempted to use them.

On a related note, I would love the option  of having the Pro Channel open by default in the console view when a track is selected. 

So, I figured out what I'm doing.
As long as I'm switching from track to track, all is fine. As soon as I click on a bus to do anything, the inspector switches to the inspector display. Now, when I go back to a track, it stays on the inspector window so, I have to physically click it back to the PC view.
It would be nice if the inspector stayed in the PC view whether I'm working on a track or a bus. Is there a way to make that a default? 

That's not the behaviour you should be seeing. The inspector should stay on it's current selection regardless of switching between tracks and busses. Or that's the behaviour I see anyway.
 
To set a default use "Save as...." then save it as a template, "Normal" is the one to overwrite to make it your default template but as mentioned what you are seeing isn't "normal".

I go back and forth between tracks and busses a lot so, this makes for a heck of a lot of clicking the PC tab on the Inspector. I will try the template save thing. This is a custom template I set up so, it's possible that it's an issue with it, I suppose.