So he drinks, and when drinking, he's prone to abusive statements towards gays? You may find it wise to become scarce when he's drunk, as most people who drink display their honest, unchecked opinions. This is particularly true about people they're close to, that's when any grievances are expounded in the most vulgar, obnoxious ways possible, especially to those who would be hurt the most.
Best of wishes that the situation doesn't escalate to that, and good luck with him!
A few things to look into regarding diet may be acid-alkaline balances and strategies for healthy digestion, and looking to reduce the artificial and chemically altered products, and most importantly: CONSISTENCY. As far as working out, walking won't just do, perhaps cycling as well. And, simply because you're, "walking," on a daily basis, doesn't mean you're actually challenging yourself. Only you can be the judge of that, but you should not be doing the same routine every day without a definite, traceable gradual progression. For example, if it's a treadmill, you can slowly increase the distance you walk in an hour, same for cycling on an exercise bike. That forces the change on you. Alternatively, there's walking the same distance but making attempts to shave off the time it takes you, say, to the park and back in an hour this week, then to the park and back in 55 minutes the next week, and so on.
I highly suggest cycling because not only does it develop muscles in the leg, it's joint healthy(yes, you may want those knees to work come 10 years from now), and one can cycle at different paces, such as fast for cardiovascular intensive training, and a higher setting to allow for some muscle development, both of which are crucial to not only losing weight effectively, but keeping it off permanently.
Good luck!