Do not use anything like a wire wheel on the porcelain hood, inside or outside. Really, I would not worry about the insides of the grill that much unless you are trying remove paint that the previous owner used on the inside. The peeling stuff under the hood is just carbonized grease and smoke.
But if you really want to clean up the inside of the cook box, then a 4" angle grinder and a wire cup brush will do a great job. Or you can use grill cleaner and a household SS brillo pad. But, after a few cooks, it is will be greasy and dirty again anyway, so why bother? There are better areas to concentrate your efforts.
Check this "HOW TO" for cleaning the inside of the lid: https://tvwbb.com/showthread.php?78902-HOW-TO-Clean-The-Inside-Of-A-Weber-Genesis-Gas-Grill-Lid
KT, For the aluminum firebox and hood side pieces you can definitely wire brush. I recommend you get a cheap grinder at Harbor Freight and use a cup brush. It will go a lot quicker than a drill/brush which you can save for the tight spots. Do NOT use that on your hood! If your hood has a plain porcelain interior I would use paint stripper and a razor scraper to get all that stuff off. With some hard work it will come out looking virtually new.
What you are encountering is pretty much what I was talking about earlier. But, hey, if you are up to the challenge and plan to keep - not flip - this grill, it can be done. Looks to me like you might get by with just a new bottom piece and some serious rust treatment on the rest. POR-15 is messy and a little difficult to work with, but for key components like the bottom of your frame legs it may be your best solution. Eastwood Rust Encapsulater is another great product. I am thinking POR because you can lay it on a little thicker to build some extra strength into the damaged metal. It dries very hard, but it won’t replace metal that is already gone.
Good luck! If you are committed to this one, then give it your best and figure on setbacks and that it will cost more than it is worth to someone else - but hopefully still worthwhile to you. In the end that is what will matter.
KT:
Bruce & Jon have a lot of experience with rust techniques, but I would get that bottom out of there to see exactly you have on the frames, especially that square tube on the left front where the caster goes. That is going to need some real pro-active treatment. With some of the rust-encapsulators and help from Jon & Bruce, you may be able to get some more life out of that bottom too. Won't look pretty, but it will be out of sight. Main thing is to stop the rust from getting worse. There is a lot on this subject on the forum with preferred brands of rust products.
Thanks for the input. I've actually got a couple angle grinders, just wanted to be sure that wasn't overkill...didn't want to risk stripping a coating I wasn't supposed to be removing. Sounds like I can hit it with a wheel brush though and that's what I plan to do.
If I can get the firebox and hood looking like I want them too, then I might just breakdown and spend the money on the floor panel.
Thanks for the info on those rust products, I don't have experience with those so will check them out.
On a side note... I was browsing Facebook Marketplace last night and found a couple nice accessories:
Weber 7421 Gourmet BBQ System Griddle = Brand new in box and lady is selling for $15, picking up today. It's the round griddle, figured I could use it on my Performer, not sure how well it'd do on top of the Genesis grates.
Your grill is a sidewinder with the knobs on the right table. The grill in the add are from a N/S grill and I don't think there is any way to make them work on your grill. If you put the side burner on the left side, it would be upside down.