The way and manner Inter Milan are handling their games before some of the bigger fixtures comes up is just outstanding with a performance that makes their opponent think twice before the kick off. After sitting at the top of the league table they never stopped but went ahead to beat Lazio in the Coppa Italia and they know what's at stake, I think Inter have a well balanced team this season than the rest. Inter knows how important every competition is to them that's why getting every trophy is possible is their goal. I don't think Napoli can perform the way Inter are performing that's if they were in their shoes, they will slip and drop point, that's why I tip Inter Milan to win the league and also the Coppa Italia because they are the stronger ones in the competition.
Inter is on fire and they are used to playing tight match schedules without it affecting their performance. I was surprised at the way they messed Lazio up in the game because Lazio is also in form. However, what I have noticed in Lazio and Inter match is that Inter is always superior to them no matter how in form Lazio is.
Inter should still be focus on winning more than one trophy this season because it's possible for them to win both trophies as you stated but they need to be in their best form to achieve this, because other strong clubs are not sleeping.