No, actually, to switch between the two sets of templates was simple, I found a thread that talks about it.
You just need to put: t=templates1 or t=templates2 in the URL since the t is already preserved.

However, the global that you have provided me works also very nicely if you want to switch between languages defined in the same template set.
Actually, I am using it in the headers to show the word: "English" to switch to English templates (templates1), then show "Russian" to switch back to Russian language.

The only think that is not yet resolved is figuring out how to call the current page (on the same set or on the other set of templates) from every page???

Thanks much for your help...
Mark