No magic wand here, I have similar issues especially after having children.
I try to exercise (walk and housework) at least 30 mins per day, that helps to keep my mind clear and focused. Eat healthily, as in nutritious food not junk/chocolate obviously, SOME chocolate, prioritize work very carefully, break tasks down and plan carefully so I can get them all done and feel in control. At the end of most days, I write out what I'm going to do the next day. There are always things that get in the way, but at least it allows me to focus and not to stress outside of work. If I don't get everything done within the day (which happens a fair bit) I work at home to catch up, 9-11 after the kiddos are asleep.
Another thing that can help is to have a mentor. Not a formal one, necessarily, but someone who's in a similar situation and has their own coping strategies. I had issues with work/life balance, and one mentor mentioned that she has a nanny come to their home a couple of afternoons a week to do cooking and cleaning, so that there is a hot meal on the table when they all arrive home. Another mentor goes out for dinner on one weekday night, to give them all a break and save time on cooking/washing up.
What is it about work that's causing the anxiety? Is it rational? (if not, say to yourself, Oh that's worry" and then move on, sometimes that works). Is it something you can change? Are there other teams which might be a better fit (you mentioned company politics) or other companies which might be less pressurized?
Good luck and hope other people have lots of good suggestions. I'll be following this thread :)