He should be able to breed fine, if it is a wobble. Usually I think wobbles are just in their head portion, and breeding is more posterior controlled. lol. However, yours looks more than a head wobble. I would watch out for a more serious neurological problem.

I'm not highly knowledgable, but you should be able to see the wobble as he's moving. Unless it is a real slight case, and he only does it while he's eating. I wouldn't disturb him so much during feeding time. You don't want to scare him into a regurge. Have you tried watching from a distance? Do you get the same result?