Create Sodium Hydroxide from Sodium Silicate
The reactions you proposed are pure fantasy. They will never happen. Na2SiO3 does not react with either H2O2 or Hydrogen gas or CH2 (which does not exist, by the way).

The only possibility would be to have silica precipitate by bubbling CO2 in the solution. This will produce a precipitate of Si(OH)4. But this precipitate is so gelatinous that it cannot be easily filtrated. If you are able to filtrate (under pressure), the remaining clear solution contains Na2CO3.
$$\ce{Na2SiO3 +CO2 + 2 H2O  -&gt;  Na2CO3 + Si(OH)4}$$

which could be transformed into NaOH by adding calcium hydroxide (or chalk) Ca(OH)2. This addition creates a new precipitate, CaCO3, which can be filtrated, and the residual solution contains NaOH.
$$\ce{Na2CO3 + Ca(OH)2 -&gt; CaCO3 + 2NaOH}$$