First, let's clarify what it means to believe-- to believe is to be persuaded or convinced of something, not simply an assumption or a guess.
To believe the Gospel is to have heard it and to be persuaded or convinced of its veracity.
To believe in Jesus Christ as Lord and Saviour is to have heard of Him and to be persuaded or convinced that what you have heard is true.
Your argument, therefore, is feeble, since the "beliefs" you cite as illustrations are not beliefs at all.
Yes, you hear the Gospel and choose whether to believe, depending on if or not you are convinced that the message is true. To believe is, therefore, a matter of choice. You must be convinced or persuaded that the message is true in order to believe, by choice.
Please, don't confuse choice with personal preference, it will weaken your case even further.
You can refuse to believe the truth, but the truth will always be truth. The Gospel is preached to all of us, but according to the Bible, "whoever believes" will have everlasting life. There is, therein an element of choice that cannot be denied.
N~