It would take about 50 years straight of UT basketball winning, meaning Final Fours and national titles, combined with 50 years of bad football for basketball to ever "transcend" football at UT, if not longer. I'm not saying it couldn't happen but it would take a lot more than 6 years of good basketball and mediocre football.
And there's no reason UT can't be good at both and have great support for both, but UT's still a football school and it's not even close.