So, can I put 2x 7805s in parallel, each supplying 1A @ 6V to my project for a 2A supply, and jointly drawing 12V @ 2A from my supply?
The load will draw what it wants (through the 7805) and you're not really splitting the current here.
You can have (2) loads, each having it's own 7805 regulator connected to the same unregulated source. But each load will draw whatever i wants. Just make sure they each load won't draw more than the 7805 can safely supply.
Also, 78xx and 317/337 regulators are 1.5Amp rated, not 1Amp.
If you want more control over your output voltage, use an adjustable 317 with some trimmers, rather than a fixed voltage 7805 regulator.