Well I guess the only sensible thing to discuss is why you think it will improve on what they've got. You should provide them with facts:
- What their disk access times (serial and random access) are now. What you believe they will be after the move to ASM. You need to test this. There is no point moving to ASM if it doesn't improve things.
- What managerial differences there will be. This can be important. Often SAN administrators can not see that ASM LUNs are in use from their tools, so they deallocate them. Your storage guys need to know what they are doing if you move to ASM, or things will get screwed up.
If you don't know or understand these issues, then really you shouldn't be changing things. If the I/O problems are due to issues on the storage, then you may get exactly the same issues when that storage is presented to ASM. I suggest you bottom out the problem, before attempting a change in the hope that it will fix some mystery storage issue.