Just a heads up (you likely figured this out already), that on this site and in America in general that Conservative and liberal have strong political and ideological meanings, in fact they supercede the other means like you are using as in drinking and going out partying.

I really don't mean to nitpick or offer off topic advice, but I bet throwing "reserved" or "publicly formal" would help. Sure they are just words but they fundamentally shape our expectations and the meanings of actions. (Sorry I've been on a Snow Crash and MGS V kick recently, they both have lingual focuses)

*As for your issues

Lets go easy from hard to fix, if you enjoy going out, but just not drinking or feel you can't get drunk without a DD or your wife can't handle it then you should check out either low alcohol drinks or mocktails, sure start off with that beer or a shot/drink and then go lite stuff. Have a good time and just have something in your hand to drink and people (like your wife) won't keep pestering you, particularly when they are drunk.

I think the next issue is the timming shecdual, that is a lot more tricky particualry with the two of you having what sounds like extreme oposites. Do your best to sit down and plan out what kind of stuff you want to do, and then make the time after 6 (maybe 7, so she can get home, shower, and decompress) to do things together, maybe hit the gym then or watch shows then. Make that your together time on workdays. That way when you go to sleep she can have her own time, if that's a problem and she want to do stuff with you (I've had a GF with few friends or hobbies once) then get her a fun active hobby. TV and netflix is passive, try to get her into videogames or an online RPG system like roll20, that could help with her needing you up when you want sleep.

Honestly the fitness stuff is going to the hardest for her to do and for you to share, it involves breaking a lot of habits and changing food choices, your body (via gut microbes sending chemical signals) doesn't like that and will make you feel hungry even when you aren't when coming off a high sugar diet. With that said, I think the best and easiest way to work her into fitness is for you and her to do some at home stuff, think of it like a second work out for you. Do body weight sets or dumbbells together, go for a quick jog.

If she is concerned about her weight encourage her to count calories to at least get an idea of what her average daily intake is over a week. Hopefully your wife is the planning type of person so you can simply cook and plan the next few days of meals and snacks ahead of time and store them in ready to go tupperware.

Try to get her to go on short jogs with you in the evening or do a couple sets of situps and curls. Avoid the hard stuff really, ease her into it.