Interesting debate, but even as a LFC fan I would go for Kane overall. If comparing them at their peak than Torres gets the nod for me but Kane hasn't reached his peak age wise yet and hindsight benefits Torres as such.
Torres is currently at 0.36 goals per game (all top flight games and including 8 goals in the Spanish Segunda Division).
Kane is at 0.54 goals per game (for top flight games only), so no comparison really.
Now obviously both players are at opposite ends of their career, it depends on how prolonged Kane's peak can last for and how many goals he'll get during this time. But judging by what we have seen then we can only conclude that Kane could deliver some frightening numbers when all is said and done.
Torres' peak, on stats alone, was from 2003-04 (Atletico) till 2009-10 (Liverpool) during which in 4 of those 7 seasons he scored more than 20 in all competitions. Around his peak Torres has had numerous returns of between 10-15 goals (sometimes less) even in seasons where he put in 40 plus appearances, which, again, Kane doesn't look like repeating any time soon.
By stats alone Kane will rip that record to pieces, its not even close; 59 goals in 101 games in his only two full seasons and 16 in 19 so far this campaign.
Additionally, Torres only achieved 30 goals plus after 5 full seasons, Kane managed this feat in his first full season. Also keep in mind that Atletico, Liverpool and Chelsea collectively provide a better frame work for any goalscorer compared to Spurs, on average anyway, though that is of course highly contestable if you compare with Spurs' line up since Kane entered the fray. Though, it could be argued, that at those three clubs I think you are more likely to find yourself out of the team quicker than at a club like Spurs as competition is greater.
Torres perhaps gains capital in this debate because 1) he obviously doesn't take penalties, 2) his international record stands out more, both goals and trophy wise, 3) his overall trophy haul. But trophies collected is obviously a different argument altogether.
Both are big game players, domestically speaking, I recall Torres scoring against Man Utd, Spurs, Arsenal, Inter, Chelsea; Kane has hit superb goals against Chelsea, Liverpool and Arsenal (could be more as that's just off the top of my head) already.