Well. Everyone around me eats rice, grains, sugar too. Hell, everyone around me drinks, and I've never drank. I think it may be easier for me to make the mental jump to eating differently than everyone around me, because I already have a lifetime of experience of buying, preparing, serving, being around, politely declining alcohol... and just never having any myself.
Though, granted, I also don't have kids or a spouse, so as a single gal, it's probably easier for me in general.
But still. Unless you find yourself tempted constantly by these foods, which is a whole other problem... you know, just don't eat them. Eat something more appropriate to your primal diet instead. A lot of foods can be modified. One thing I've done at family gatherings for years and years is just separate the grains and sugar from the meat/veg dishes. That way people who are still into grains can have all they want with the main course, and I can have the same main with a bunch of raw veggies or something.
I don't really know much about Chinese or Indian cuisine, but it seems like it would be possible to make the rice a separate dish. Then just don't have any.
Or, as other people have suggested, just get your kids and husband their meals and eat whenever you feel like it. You can still sit at the table with them and have a cup of coffee or tea or something, so you get the family meal together-time in. (Another thing I've done for years, since everyone around me drinks before dinner and NO ONE feels like dinner before 8pm minimum, whereas I like to be done with food for the day by 7pm.) Being on a paleo-esque diet means you just aren't on that whole must-eat-all-the-time sugar-burning thing. So you can eat whenever.
Anyway, eating this way surrounded by grain and sugar-eaters can be done. It's not even that hard. The real issue tends to be more social- whether people will hassle you about your diet choice, do that 'just have a little! A little can't hurt!' thing that's so annoying, or whether they think its really rude of you to not eat what everyone else is eating, etc etc. Also another whole other problem.
It can help to clearly identify what the real problem is- whether it's being tempted by having these foods around all the time, worries about not fitting in to the family's eating patterns or people giving you crap about it socially.
There's ways to deal with each situation. For the last one, my advice? Lie. Say you're gluten intolerant and also diabetic. Believe me, NO ONE will give a diabetic sugar and most people don't want to set off someone's food allergy and have them go into a coma in their living room or something. You can do the same with grains. It's kind of like telling people that you're on the wagon when you want to escape getting bugged by other people about not drinking. No one wants to give the recovering alcoholic booze either.
Getting my Grok on in the Pacific Northwest.
"C is for cookie, that's good enough for me."
"Cookie is a sometimes food."
"Sometimes cookie monster eat APPLE instead of COOKIE. Sometimes eat CARROT."
-Cookie Monster, partially reformed sugarholic