Can anyone tell me the difference between these 2 types of ammo? I know wolf is steel case, and they both have the same grain, but other than that, I dont know anything else. Is the ss109 m855 really Armor Peircing? If so, is the wolf 62. grain also Armor peircing? Is the wolf 62 gr. boat tail?

They are two different animals. However, neither one of them are truly Armor Peircing by today's standards..
Yes, the shell of Wolf is steel. And the Wolf 62gr ammo is just a 62gr version of the common 55gr FMJ. And the Wolf is loaded to the .223 standard.
While the front half of the SS-109/M855 bullet core is steel, and the rear half is lead. And the M855 is loadrd to the hotter 5.56 standard.