I think there's a clear difference between showing someone's reputation, and wanting to filter all of them out because "They have low rep, they probably can't ask good questions".
Rep's shown next to your name everywhere but comments, and some chat entries. SE is all about the imaginary internet points, isn't it?
In addition, this question is based on an incorrect premise - What the question shows is the last post associated with the question - by posting my posting this, MSO will show my name and reputation next to the question- and no one's going to up or downvote your question cause I answered it. The same will happen if I edit it.
Post question edit screenshot:
Screenshot after I posted a second answer to this to check (sorry!)
The name/reputation next to the question as such is just a way of seeing who was last active in the question rather than an attempt, intentional or unintentional to influence folk to vote a certain way
Your tree has no squirrel, and as such, this is not the tree you should be barking up - since whose name is next to a question can and will vary. That said, If you're a high rep user, and you do something stupid, it gives other users all the more reason to mock you in the comments - so.. I'd say being able to see your rep is a double edged sword.