but I believe it's likely it will ease the problem. He won't be as obsessed with it because it will have lessened his desire to mate. After you neuter him, there are a number of things you can try. There is a litter, and also something you can add to your regular litter, that will attract a cat to pee in the box (Cat Attract). I'd recommend trying that first.
Another thing you're going to have to do is eliminate the odor of his urine in the house. There are special products to do that. Regular cleaning products will not... even though you may not smell it anymore, he will. That will attract him to go in those spots again. So try something like Nature's Miracle for cat urine. They may make a heavy duty one which I'd invest in, if so. It's gonna be a tough job. Also a black light can show up urine in places where you may not know it exists.
This has gone on long enough that it will have become a habit, but I think there are tools to help. First, he has to be neutered.
Good luck, and keep us posted on his journey to being your best buddy after all. 
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