In Georgia it is between the linguistically distinct enclaves that in the past were Russian and wish again to be Russian, and the majority of Georgians who want to be part of the West, but are also determined to dominate their rebellious territories.
If they would peacefully renounce those territories, an ethnically and culturally united Georgia would have every right to demand NATO membership. But as things are now (or were, until the last few days), Mikheil Saakashvili wants his country inside NATO to protect him from the consequences of forcing those dissident territories to remain under Georgian domination. NATO has no business doing such a thing, and as Russia supports the rebel enclaves, NATO membership for Georgia has war with Russia built into it. As we have just seen.
In Ukraine, the problem is between a culturally and historically Orthodox and Russian-speaking Ukraine, and a westernized and Uniate Catholic Ukraine, whose ties are to Poland and Lithuania. Westernized Ukraine is trying to use NATO to help it dominate Russian Ukraine. This again has war built into it, and NATO must stay away from a conflict that is an unresolved and possibly irresolvable internal Ukrainian problem.
NATO is extremely lucky that Germany and France blocked it earlier this year from offering membership to Georgia. Had they not done so, NATO today would either have threatened Russia with war this week, or its Article Five guarantee to come to the military aid of any of its members under attack would have been discredited.