Yes, you are conflating democracy with freedom. You seem to think that freedom means a right to influence other people to vote as you. That is not democracy, because democracy in its basic form is "one person, one vote". As such, what you call "freedom", is merely you claiming the right to infringe on other peoples' freedom to vote as they please, free from your influence and manipulation. And also, freedom does NOT include you being able to exercise control over me with what you call "power to influence". Your rights END where my rights over myself start.
It seems to me that you're a fan of democracy simply because in your world-view it conveniently allows you to claim "freedom for all" and at the same time manipulate them into voting the same as you. Because yeah, dude, your phrase "power to influence" simple means coerce and manipulate people into voting the way you want them to.