Hi rybcki_mt and welcome to the forum.
The heater draws 175mA @ 6.3V, so you can connect it in series with 15 ohm 1W and supply this series with 9Vdc. It's not necessary to feed it with a regulated supply.
Perhaps you can use the second half of your TL072 placed after the tube to drive a tone stack (or volume pot and output jack), due this tiny tube can't handle any load.
If any forum member wish to experiment with tubes (RECOMMENDED !!!) the equivalents of the 6J1 are 6AK5, 6AK5W, 5654, Western Electric 402A, and EF95
Another little tube named EC900 or 6HA5 has the same height (38mm) and heater ratings than 6J1
Cheers,
Jose