I think what Foler means is less restomod, and maybe more backdate. Take a modern car with a good engine (LS, coyote, 392, whatever) and rip off all the electronic shit and put a carb system on it, for example. People have done that with LS engines (typically to put into old muscle cars), but it does cost you efficiency and power compared to modern EFI/Ignition. But it's more efficient and better power/weight than using old iron block engines due to weight and modern metallurgy being better. Alternatively you can add aftermarket versions of electronic fuel injection/ignition, such as megasquirt. That kind of thing can always be updated because something new that comes along is designed to be adapted in some way to existing systems.
As far as the abs module in your truck, just fucking bypass it why don't you? It doesn't brick your truck, just the brakes, right? Put in non-abs brakes. Find a used module on ebay or a junkyard or something. There's ways around all that kind of shit.
As far as simple sports cars, it's not a big list. Miatas, early 3.0 Z3's maybe, c5 corvettes might be relatively gadget free(not sure), S2000's. Anything past about 2005 or so is going to have more and more tech added. To get truly mechanical you have to go back to the 80's, and even then it's no guarantee. Early Porsche 928's for example are famous for being chock full of proprietary electrical relays that go bad and are basically unobtainium. Good luck figuring out what they all do and replacing them with something that will either last a long time, or just gutting the car of all of that stuff and still having it work in the way you would want. There's also the mechanical fuel injection (Bosch K/jetronic... I think) on all the Euro stuff from back then is pretty complicated and hard to find parts for now and requires a pretty knowledgeable mechanic to get working right.
Me, if I was building a simple mechanical sports car for non-mint amounts of money and I could fit in them, it would be a Miata built up to look like a light duty trackday weapon. A few years ago I would have said build up a fox body mustang for relatively cheap, but I think they've come up in price a lot. Maybe the late 90's (SN95) mustangs could do it, but finding a non-busted one is going to be tough. I've always kind of liked the 89-92 model Thunderbirds looks-wise, and under the skin they share most of their parts with fox bodies, apparently. Building up one of those might be a more unusual choice and cheaper than a same year mustang, but finding a manual one would be tough so you'd need to do a swap because fuck autotragics. Probably not too bad when you start out with something cheap, but eh, it would still be a pretty big project.
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