The new one you got is the latter style often called a beehive pressure plate. If you use the short TO brg with it it should work fine.
Are you putting in a T-5 trans.? If so there are some modifications you need to make. If you are not using a spacer you have to grind the splines back in the trans shaft.
George
Unless you wound up with a T5 from an Astro van or Camaro V8. Those had the correct length of input shaft so you don't need to grind anything. Probably the same for the V8 Firebird and Safari van. With the Astro van T5 you only need to get a clutch disc with the proper spline count (Astro will have a shorter bearing retainer and a 14 spline count), right size pressure plate (that matches your flywheel), the short TO bearing, ream the case holes a bit...and you may have to make a new linkage rod. The long TO bearing won't fit with those transmissions...or at least I couldn't make it fit at all. If you can find an 11 inch flywheel, there is a pressure plate and clutch disc that will work just fine. I'm certain there are other combinations, but I had the 11 inch flywheel out of a totaled 1954 Corvette and preferred the larger surface area.