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It is possible to say 'I hoped you would be happy'. (or 'I hoped that you would be happy.' ) There is something about the 'want' and 'would' that doesn't fit.

One may indeed make an impersonal sentence this way. But use "one doesn't", not "one don't". As in "One doesn't need to do it".
One as a grammatical person takes the same verb forms as 'he, she,...

Hi Oldboy, From the way you had constructed the sentences, I thought you probably meant 'not' for the last example.

The first two examples actually mean something, but perhaps not exactly what...

Hi, oldboy.

These sentences do not mean the same thing. The last one looks correct. The first two are not standard usages. The first two are indicating that something does not need to be done...