Then take a copy of the no2id petition to all the properties in that randomly selected road, explain what the governments ID plan really involves and if they disagree with it, ask would they be prepared to sign the petition to say so.
If you can get 80% of the roads properties to sign against the ID plan
you have proof that 80% of a randomly selected section of people within your MPs constitiuency oppose the ID plan. Which is the exact opposite of the level of support the government claims it has (you may get 100% to sign against it which is even better)
Doing that (if it works) would certainly make your MP think. However, it is far from the proof you claim, because people in a single road are not going to be a representative sample, and because people you have spoken to about it are not in the same state of opinion as the 50,000 or so in his constituency you haven't spoken to, and because (as MPs well know), quite a lot of people will sign anything just to make you shut up and go away. Mich better to devote the same effort to engaging willing opponents form all over the constituency each to contact the MP, councillors, local newspapers and other opinion formers.