I think Litecoin is firstly more estabalished with new features being introduced along the way like the Pay feature in addition to better acceptability & recognition vis-a-vis NEO (as of now) and should touch $1000 in 2018 before NEO.
Whats your view...
I think one of characteristics that helps price or should I say the value of a crypto to go up is popularity within the community
and comparing the two Litecoin and NEO I think we all agree Litecoin has more support than NEO which makes litecoin to be the most likely to reach 1000 dollars.