I don't think it's right that Rodgers and Martinez should be considered interchangeable in this argument. Rodgers has had a couple of failures as a young manager, before a great promotion season and magnificent first PL season. Meanwhile, Martinez has been a success at both of his clubs, arguably laying the foundations that later helped Rodgers, before doing a ridiculously good job over several years at an unfashionable, crappy PL club that should be in the 3rd Tier.
If that's true then I don't think Martinez - despite his youth - is fairly classed as an "inexperienced young manager". I think he is an "early mid-career" manager at this stage. 5 or 6 seasons I think it is, and yet to fail. So I think your argument is actually about Rodgers, not Martinez.
On that, I am forced to agree after much agonising about it. We'd be basing Rodgers on one season in the top league. At the end of the day, it's just not enough for me. Martinez though, I'd take a punt on as he seems a great balance of "young and energetic" and yet, experienced. Mini-Mourinhio anyone? There are similarities in personality I think. The heart of Jose, the football of the Spanish school and 3 seasons watching Wenger, SAF, Mancini and Redknapp at close quarters. I say there's something in that mix that fits Spurs right now.