@Gishers,
His way is
A LOT more expensive. It's also got the stamp of finality, or at least it's further along toward finality.
And it doesn't bode well if you can't come to an agreement on this without a mediator.
Sit down and have a talk. Not about dating. Not about divorce. Make it about whether you two are friends. See, friends don't have to be married to each other. You can be cordial and even enjoy each other's company.
If you're not friends, then definitely get a divorce and skip the dating. If you are, then you both need to get on the same page. And filing means the wheels are in motion. And those are expensive and it can be harder to take it all back. Filing before dating is putting the cart before the horse.
Recognize, also, that 'dating' might mean nonexclusivity. You might want to have a conversation about that as well.