We've never restricted this forum to teachers only, so welcome.
I've tried to never influence my students opinion in this fashion, but I'm sure I do influence my students' opinions in some ways. I hope I influence them in many ways -- to be better people, to work hard, to be good citizens etc. That's an aside of course!
I did have an experience when I was interviewing students for a mock college interview and I was asking follow-up questions from what the students had said in their initial questions. One went back to the teacher and told her that I was very prejudiced against what they thought because of the questions I had asked. Those questions had been: Can you explain _____? what support do you have for ______? Where does the government's role end in ________? Again, they were all follow up questions, but the fact that I asked them led the student to believe I was challenging what they believed and I was just asking for clarification. So sometimes there is an interpretation issue. Again, this is different from what you described.
I'll sit back now to read what the other teachers have for input.