Boise has a lot of graduate degree programs. You can see them here: http://www.boisestate.edu/gradcoll/0003.html
Quality rather than quantity however? Well that's another thing entirely....
As a practical matter however there is zero chance that Boise would ever be admitted to the P14/16. Why? Because they bring no meaningful TV market. Which means they would dilute the per school TV payout and there isn't a single P12 chancellor who will willingly vote to decrease his/her schools take.
Through the lens of today, you're absolutely correct. 15 or 20 years from now, who knows? They'd need to keep performing to grow the national appeal. The Idaho population would have to grow quite a bit. And, most importantly, we'd have to see that 16 teams allowed for a 2-round conference playoff that delivered a huge windfall for the semi-final games. Even with all that, I don't see how they'd come in as an immediate equal partner and I don't think they'd rate as high as a New Mexico.