Awful idea, kokoloko. First, I'd like to say that I'm against pursuing realism in Civ4 at the expense of gameplay. If you haven't already, you should read
"Less Realism", which was started by warpstorm. It may be dead, but most of the views expressed are still good, IMHO.
Your idea adds little substantial improvement to the research concept in Civ. IRL in the United States, all libraries, most universities, and nearly all research labs were built and maintained by the government. I also believe it's the same for many other nations and their governments. Therefore Sid Meier represented this fairly accurately in Civ.
Research subsidies? You can already do this by adjusting your research slider.
Simultaneous research? That's no good when you can only choose among eight or so techs at a time (check the tech tree in the appropriate Civ game). Think of what it would do to exchanges with other tribes: no incentive to trade techs since you can research two or more techs at a time.
As usual, Aussie_Lurker, I think your idea stinks. (No personal offense.

If someone asked me whether you were my twin, I would say, "Yeah, fraternal. Not.") Again, I'm against complicating Civ for the sake of realism.