That construction is OK: "I don't like my students to bother me when I am trying to write."; "I don't like the children to use the oven when I'm not home."; "I don't like my gas tank to get below a quarter full." Also, "I like my dentist to use Novocaine."; "I like a man to be sensitive and caring." Where I come from (Ca, USA), all of those sentences sound natural and correct.
All four of the constructions you mention "I like/don't like [someone or something] to [verb]" and "I would/wouldn't like [S/O or S/T ] to [V]" are acceptable, idiomatic, and sound fine. They usually do have slightly different meanings though. "I like" or "I don't like" is for real situations; "I would like" or "I wouldn't like" is for hypothetical, future, or somehow non-real occurrences.
Consider the pair: "I don't like a visitor to come to my home without phoning first." vs. "I wouldn't like a visitor to come to my home without phoning first." The first sentence is about what a visitor does that the speaker doesn't like. But the second sentence implies a situation that is hypothetical. The speaker doesn't say he doesn't like it, but only that he wouldn't like it (if it were to happen). The first sentence implies visitors sometimes do come without phoning. The second sentence implies that they never do.
Similarly, in the positive sense, "I like my dentist to use Novocaine." implies some experience with a dentist who uses Novocaine, and the speaker likes it that way. But "I would like my dentist to use Novocaine." implies that the dentist does not use Novocaine, and the patient would like it if he did.
Best Answer
It's common in informal American English (hat tip: @Damkerng) to omit the word "and" from the phrase "come and X". For example, the following pairs of sentences are equivalent:
Similarly, the phrase "come settle" in your sentence means the same thing as "come and settle".