I found the answer to my question yesterday and figured that since I asked the question here I should probably share the answer as well...
25mm and 1" are definitely different sizes and the blade adapters and pulleys are likely not interchangeable. The answer I received was in response to a question to a vendor of Briggs & Stratton engines. He indicated they (25mm & 1") are indeed different sizes. Most small B&S engines (i. e. for a lawnmower, etc. ) have either a 7/8" or 25mm shaft size. However, engines 8HP and above have a 1" shaft size.
-Deon