In your example, "like" is the main verb and "do" adds emphasis. In grammar, this is called "emphatic do." Here is more information: https://www.thoughtco.com/what-is-the-emphatic-do-1690590 And here: http://www.bbc.co.uk/worldservice/learningenglish/grammar/learnit/learnitv298.shtml [excerpt] do / does : emphatic use We do not normally use do or does in affirmative sentences, Ali, but we can use them for emotive or contrastive emphasis when we feel strongly about something: She thinks he doesn't love her, but he does love her. He really does! You do look pretty in that new outfit! Quite stunning! Are you all right? You do look a bit pale. Do please sit down. I don't see very much of my old friends now, but I do still email them. Was that a joke? I do believe you're teasing me! When we are using the auxiliaries do and does for contrastive or emotive emphasis like this, we give them extra stress in pronunciation to make them sound louder, longer or higher in tone. When you see these words in print used in this way, they will normally be in italics or bold type or in CAPITAL LETTERS. Practise saying the sentences above with extra word stress on do and does.

Hello, In this case, adding "do" provides emphasis to the statement. It can also suggest an admission or confession of something. ex. Well, I do like to eat chocolate. Like is the verb. Alike is an adjective meaning similar. Hope that helps! Best, Martha