No offense, but you still seem to be a little confused on the basics. I'll try to point you in the right direction... much more is out there but hopefully this is a start.
The cable feed the cableco sends you contains both digital (QAM) and analog signals. The analog signals can be viewed just fine by any "cable ready" set... those are the channels we're all used to seeing from 2 to 78. The digital channels are what your set top box is receiving and decoding. They are in a higher frequency band than the analog channels, and the STB "maps" them to channel numbers, according to however the cableco decides to set up its program lineup. (So, one company's channel 701 can be a different frequency than another's). From this point it goes from the STB to your TV through a standard video connection like component, S-Video, or HDMI (which also carries audio), just like any other source, be it a DVD player, VCR... you get the idea.
The confusion seems to be with the "unencrypted" part. The analog signal you're getting on all your cable ready TVs without STBs is unencrypted (unscrambled, unblocked, ...). Some digital channels are also unencrypted, and need to be decoded by a digital tuner that supports QAM (which your tuner does, as well as ATSC for off-air digital signals).
Here we only get 7 unencrypted digital channels. The rest, you need a cableco STB to get in digital. That's so they can control what you can receive based on what level package you buy. HD channels have to be sent digitally because they require more bandwidth than a traditional analog channel provides, so you can only view them with an STB, or the built-in digital tuner for the unencrypted digital channels.
Spend some time in the manual getting familiar with all the settings--that will give you some more pointers. The channel scan is in the Setup menu, Program Channel, and make sure it's set to Cable and it should be intuitive from there. Unfortunately, modern consumer electronics have become complicated enough so not everything is intuitive and you really need to read up on them to use many features. The good thing is that they are much more capable than products of even 5 years ago.
You could split the cable and run one to the STB and one to the TV, but I really don't see a practical reason to do that. Why are you trying to bypass the STB in the first place?