Well, SRB2 is hardly DooM anymore because of how different it is. The same case would be if you made Mario Party out of SRB2. That's proof of how hard it would be.
Because of the limitations of the DooM Legacy engine, it is very infeasable. The biggest problem is the inefficient OpenGL engine (software won't work well, because you need to look down on the board).
Another issue is that you need some way of remembering the state of the board each time you go into a Minigame. Not worth the trouble. The Minigames themselves will take years of coding, too.
Rather than use an FPS engine for a button-mashing Minigame collection, you're better off making your own engine specifically for this purpose.
In the end. Anything is possible in SRB2 if you've got the programming know-how, but it never is usually worth it. SRB2 is just too dated, and too limited. Sure, that's what makes modifying SRB2 fun, but there is such thing as going too far.
Besides, Mario Party gets old fast.