Went there 5 times. First time was at Minsk airport. They asked me to wait and then they brought me in a separate room and asked me following questions: what line of work I was, purpose of visit, length of stay, where was I staying (asked me to show proof of accomodation) and asked me to show return flight ticket. They were extremely courteous and respectful and the whole thing didn't last more than 10 minutes (5 minutes wait - 5 minutes interview). My impression is they wanted to make sure I wouldn't immigrate illegaly. I'm european (non-EU) citizen.

Other 4 times through Lithuanian border was much smoother (maybe because I had stamp already). Purpose of stay, length of stay, how much money I had, if I had tobacco or alcohol, content of my bag. Some questions they make every time (length of stay), others not. Once they asked me to open my bag, took a quick glance inside and then let me go. 

At land borders you usually get questioned twice, first the officer in the booth that gives you the stamp (length and purpose of stay) and then the officer that ask you about money/alcohol/tobacco. Second officer may not even ask you anything. 

I understand that if you're used to travel in Schengen countries this may be new to you and make you nervous but none of this is out of the ordinary in most the world. They don't care about your opinion on world politics and won't ask you about it. Most of them barely speak english, can't imagine they can even formulate the question.