First things first:
"I don't know if this be right." (not correct even in Shakespearean English.)
The above statement is a confusion of the present subjunctive because the writer sees "if"; however, more correctly, this should be "whether" and not "if". It is answering a question:
"Is this right?"
"I don't know whether this is right."
"If this be right" means "in the event that this be right". If one were to replace "if" with "in the event that" above, "I don't know in the event that this be correct" makes NO SENSE! For example:
"If that be the case, I shall eat my hat!"
"In the event that that be the case, I shall eat my hat!"
"If that were the case, I should eat my hat!"
"In the event that that were the case, I should eat my hat!"
Do you see the difference here? Now for your examples:
"It is requested that a vote be taken." (The present subjunctive is used herein because you believe that "a vote SHOULD BE taken" and you've requested it. You could very easily add "should" herein and it would be correct.)
"It is high time you went to bed." (You could use the present subjunctive herein and it would be correct and mean virtually the same thing: "It is high time you go to bed." But in your situation, the past subjunctive gives off an air that you're not going to go to bed anytime soon.)