Alexa ''Jura, I never stay with people.'' which is probably why you don't know how they vote or feel about different issues.
When you live abroad, a long way from family and friends- then people do stay with you, and you do stay with them. We often have people staying for more than 2 weeks- and my parents always used to spend 2 to 3 weeks with us- in the Summer or at Christmas. Christmas was sometimes hard, as MIL would come for a few days, and the weather didn't allow for much time spent outdoors. Flights were so expensive then. But we all coped. We try never to spend more than a few days with anyone- as we are so aware how hard it can be to 'entertain', cook, etc- and do it more often.
Perhaps too a different culture. You may find it difficult to get, but the 'not talking about politics' is very much a British thing. In France and in my family, we were always encouraged to discuss everything, be it religion, education, 'politics' if not necessarily party politics. The British FPP system is also very divisive, be it in society or families- as you are seen as either 'a leftie' or 'a Tory'- whereas in other countries with proportional representation in some form, this is just not the case.
When you stay with people, you see the papers on the table, people comment on the articles they read, and the people involved, and comment when watching news, etc. Very different to meeting for a cuppa or a meal.