I think that's the problem right there. I suspect you didn't intend it to sound that way, but that part of your statement comes across as dismissive and condescending.
I point that out only to suggest that there's no reason why people with different political views can't work together, as long as they respect each others' views and don't discuss them in a demeaning way. I don't think that necessarily means you're "putting politics aside", and in fact I think that can be harmful in some cases.
If I shared this belief, I don't think I could support democracy.
Supporting democracy means you vote to the best of your knowledge, not that you have to engage in what usually are unproductive conversations with strangers.