The GOP vice-presidential candidate talked about Israel, Pakistan, and preemptive strikes in an ABC interview.
Aid and outreach initiatives have been stepped up. But full EU membership will be slow coming say Ukrainians.
Officials in Moscow deny any link between the conflict in Georgia and the Caribbean exercises.
This week's deal to end the Russia-Georgia war may drive wedge between US and EU.
Medvedev approved the move a day after parliament voted unanimously in favor of it.
In the coming weeks, the West will be shaping a long-term response to what many see as Prime Minister Vladimir Putin's bid to change the post-cold-war world.
Our correspondent describes a tour led by Kremlin press attaché Sasha Mechevsky through Russian-controlled villages and the South Ossetian capital of Tskhinvali.