grammaticality - "Would something like to do something"?

Yes, your example of IBM acquiring Apple is correct. You is just a placeholder and can be replaced by a person's name, organization, place, etc. Here's an example that may help you wrap your head around it.

Would he/she/they/it/I/someone/ like to acquire Apple.

That said, when you refer to an organization, you are actually referring to something that's a living thing and acts more like a body of people working together. So you wouldn't really say,

Would a stone like to eat something?

This is not ungrammatical, but unidiomatic and to some extent illogical, unless we live in an imaginary world.