I think if the goal is only to get a ticket to UCL Allegri can give it next season to AC Milan because with everything he has prepared now with several new recruits AC Milan is considered to be much better and another reason Allegri is very experienced in the Serie A competition, but that doesn't mean AC Milan is not competing for the Scudetto because if you look at the big name of the team, the goal should be the title. Yes hopefully we will see something in the next season from them.
You are making good point about AC Milan chances next season especially with their new players and Allegri as coach. It looks they should at least get into Champions League and maybe even fight for league title considering they are big team.
You are right that Allegri knows Serie A very well which should help new players fit in quickly. With more stable and prepared team plus his smart tactics they could definitely be strong competitors.