TL;DR: There is nothing like “real-time” VATSIM map.
Explainataion:
Only to make it clear. All common VATSIM maps uses default vatsim info files as a resource. Those files are refreshed only once per approx 2 minutes, therefore the location of the planes in the map is not (and cannot) be realtime.
AFAIK, VATSIM does not offer any public source to access real time data exept the case you are logged in as an observer using your VATSIM credentials using some ATC-like client.