Basically, 70s Chicago Schwinn "road bikes" came in a few different flavors...
-The "nice ones" were the Super Sport, Superior, Sports Tourer, and Paramount. The Paramounts were lugged; the rest were fillet brazed. All of these had threaded BB shells, except the Super Sports (American shell for one-piece crank). You can tell the Sports Tourers from the Varsities and stuff by the larger diameter (I think it was 26.8mm? Maybe 26.6mm") seatpost. More than likely, this is NOT what you found at the ncurb.
-The electro-forged 27"-wheeled Schwinns were Varsities, Continentals, and Suburbans. Electroforged bikes almost loom fillet-brazed, but they're actually flash-welded, and they weigh a ton. You can tell these by their really skinny 13/16" (20.7mm) seatposts. All will have American BB shells. The 27" wheeled Schwinns will have steeper seat and head angles than the 26x1 3/8" models, and will have shorter chainstays, which might seem counter-intuitive, but there it is. The Suburban was the cheapest, usually with upright bars, fenders, and a single front ring with a 5 speed rear. The Varsity will have either upright or drop bars, usually a 2x5 drivetrain, and the forged flat-blade fork. Continentals were the nicest; they were 2x5 as well, but with more alloy components, drop bars, and a nicer (lighter and stronger) tubular-style fork. If your fork is the forged type, t's not a conti. But, a Varsity frame is exactly the same as a Conti frame; it's the fork and many components that are different. All of these tend to have guides for derailer cables.
The "lightweight" 26x 1 3/8 (aka S6, aka 597mm) wheel Chicago Schwinns are electro-forged, with forged forks. By the 70s, the Racer model's name was changed to the Speedster. Speedsters came in either 3speed or singlespeed models; the 3 speed model had a gear guide on the top tube, and a hanger for the pulley on the underside of the toptube, just before the seat-tube. The Collegiate model is the same frame, but set up for derailer gears; they came in both a 2x5 with front and rear, and a 1x5 with rear derailer only. If I had to guess, I'd think yours is a singlespeed Speedster, due to a lack of guides. These bikes have longer stays and slacker angles than the 27" frames, and they can easily fit a 27" wheel/tire...
There were many Panasonic-built Schwinns in the 70s and other makes beyond; keep in mind that Schwinns built outside of Chicago will have their own system of serial numbers, and some folks have erroneously ID'd a Schwinn as a certain year when, in fact, it was a later imported bike. Posting pictures will help.
As for the "Thruster"; that site gives few specs, but some of the stuff will fit, and others won't. The wheels will fit, but brake reach may be an issue. The picture on your link shows old-style nutted brakes; if they're still outfitting the Thruster thusly, those brakes will fit your frame, but I'd bet that the pads won't reach the rims. The crank will fit, but you''ll need an American-to-Euro adaptor in order to fit the crank and BB in your Schwinn. The headset will NOT fit; it's hard to tell from the pic, but that does look like a 1" threaded headset--- the stem may or may not fit your Schwinn's fork, depending if it's a 22.2 or a 21.1mm stem. (No specs provided on the Thruster site, but your Schwinn takes a 21.1mm stem.) Seatpost won't work; saddle can be clamped into whatever guts you get for your 13/16" seatpost for your Schwinn. If you're using those wheels, obviously the tires will fit the rims, and I feel 99% sure that those tires will clear your Schwinns frame and fork. Maybe 99.9% sure. Keep in mind that, just b/c WalMart calls it a fixie, that doesn't mean it's necessarily a fixed gear. A lot of those bikes are singlespeed freewheel bikes, but they call them fixies b/c WalMart is of, for, and by morons who don't know anything-- and they seem to think that "fixie" is still a viable marketing term. It may well be, for WalMartians, who can be counted-on to be roughly 10 to 15 years behind current fashion. That being said, even if "Fixie" is a doomed trend, fixed-gear drivetrains are a lot of fun.... and that's a good way to go for a Schwinn lightweight frame.
Overall, though, I'd say you'd be better off building your frame up with used and salvaged Schwinn bits, and then buying a better-quality fixed gear wheelset and tires to fit it. There's a lot from that Thruster than can be used, but other stuff that can't. You could probably build a better, stronger, and less-kludged fixed gear on it for the same amount of money, if you tossed on a Schwinn headset, and old stem-and-bars from a Schwinn donor bike, and a OPC and then went with something cheap/decent for the sheels. Just my $.02.
HTH
-Rob