It's true that alot is not in the dictionary (all the online ones I tried either sent me to "allot" or "lot" or returned no results) and that it's considered a nonstandard form of a lot. But what's stupid about the argument is that we do actually write awhile, even though it's just the article a + while, when it's used adverbially, but not when it's used as a noun (for example, when it follows a preposition, as in for a while). So by the same logic, it should be okay to write I like it alot.
The only real difference is that awhile goes back to the 13th century, while alot is apparently a much more recent, since lot wasn't even used this way until the 19th century.