This can be done, but you will need to use a partitioned cell. Something such as a sealed off terracotta pot should do the job as far as I know. Keeping the MgSO4 on one side, and an inert electrolyte on the other side - This should allow some the Mg+2 ions to flow over to one part, while leaving the SO4-2 in the solution.. or vice versa -- honestly I am not to sure how it works, but I know a partitioned cell out of a terracotta pot, or tyvek should allow you to produce Mg(OH)2 on one side, and H2SO4(aq) on the other side.. Though I may be wrong..
You might have better luck when it comes to responses if you try indiescience (my site - a few chemists there) or sciencemadness, which has lot of very smart people, but make sure you search first and write well - as well as perhaps come up with a reference or idea about how you might go about doing this.. otherwise you may get some trolling comments.