to make him move how we want him to move.

这个how分句为副词性关系分句。

我们现在对名词性关系分句比较熟悉了，即融合型关系代词引导的名词性从句，相当于一个名词词组后接限制性定语从句。例如：What he said was important. What he said= the thing that he said.

同理，融合型关系副词也可以引导副词性关系分句，即该分句相当于一个介词短语后接限制性定语从句。例如：He put his book where I had put mine. where=in the place that/where.

所以，网友的这个句子中，how为融合型关系副词，= in the way that.

to make him move how we want him to move.

= to make him move in the way that we want him to move.

即这个方式状语从句并不是由连词引导，而是一个副词性关系分句。