Right now on https://ux.stackexchange.com/ there are four questions with negative vote scores, and three of them are closed.
Isn't the front page supposed to include the greatest hits?
One thing to remember with closed questions is that they can be reopened.
If you hide them from the front page then people will have to go looking for them (via the tools menu or by custom searches). Thus it will be harder for borderline questions to be found, edited into shape and then reopened than now.
This will mean that closing becomes permanent rather than something that can be - and should be seen to be - temporary.