2000firebird- You've already received enough good advice here, but I'll add my 2₵ anyhow.
As you grind away on that, you may very well find that it *is* rusted through. In that case you'd better consult a pro.
IF that doesn't happen, I'd use a "paint over rust" product for the primer. I've had some pretty incredible results with these products...results that stayed nice too, not just some temporary cover-up. The "big name" in such stuff is POR-15, but I get better results with Eastwood's Rust Encapsulator (the black version looks enough like GM's flat/satin black that I've left it like that, untopped and it looked fine), and the *best* results with a product called Rust Bullet, which will need topped since it dries to a "nonmetallic silver" look.
Seriously, you're not gonna get all the rust, it just doesn't work out that way. Use one of those products for your primer and you'll probably get away with it just fine, whereas regular primers require absolutely perfect, not just 99.999%, prep...the kind of prep that I consider pretty unlikely if you're anything like I am (and it's sure not like I'm sloppy about this stuff).