様(よう)に～て欲(ほ)しいWant ~ to ~ like ~, Want ~ to be able to ~, Want ~ to ~ in the way of ~

(A) ように～てほしい is an expression in Japanese which combines the auxiliary verb, ようだ, with the てほしい structure (indicating that you/someone else wants someone to do something). As ようだ is being linked to a verb which comes later in the sentence, it will take on the adverbial form ように.

This expression is used to highlight that you (or someone else) want someone to do something 'in the way of (A)'.

Note that when ように follows a noun, の will be required.

Either に or が may mark the thing that the speaker 'wants' to do. It is more common for に to be used to mark people, while が will often mark events/objects.

Fun Fact

Sometimes が and に will be switched, if either of those particles have already been used somewhere else in a sentence. This is mainly to avoid sounding repetitive, or confusion about what the subject of the sentence is.