To-Infinitives are a bit weird.
I find Holt to explain it best (pun not intended :) ).
An infinitive is a verb form that can be used as a noun, an adjective, or an adverb. Most infinitives
begin with to.
NOUN To win is their ambition. [To win is the subject.]
He likes to write. [To write is the direct object.]
ADJECTIVE A few letters to mail remain in the outbox. [To mail modifies letters.]
ADVERB Her sister is coming to talk. [To talk modifies the verb is coming.]
It felt good to rest. [To rest modifies the adjective good.]
The lizard moved too quickly to catch. [To catch modifies the adverb quickly.]
excerpt from Holt Elements of Language Fourth Course.
after reading that, I hope you have your answer.
And yes, in most other languages this kind of structuring is translated to will+infinitive.