1998 Chevy S-10 Ignition removal!

Assuming you are speaking of the ignition switch where key is inserted, you do not remove the steering wheel. Below are instructions for removal/installtion.

REMOVAL:
Remove the column shroud halves.
Remove the column-to-dash attaching bolts and slowly lower the steering column, making sure that it is supported.
Remove the multifunction switch (if necessary).
Remove the key alarm switch, if equipped, by gently prying the alarm switch retaining clip with a small screwdriver. Rotate the alarm switch 1/4 in. (6mm) turn and remove.

WARNING
Extreme care is necessary to prevent damage to the collapsible column.

Make sure that the switch is in the LOCK position. If the lock cylinder is out, pull the switch rod up to the stop, then go down one detent.
Remove the two screws and the switch.

Exploded view of the ignition and key alarm switch

INSTALLATION:
Before installation, make sure the switch is in the LOCK position.
Install the switch using the original screws. Tighten the screws to 12 inch. lbs. (1.4 Nm).
Install the key alarm switch, if equipped . Make sure the retaining clip is parallel to the lock cylinder. Rotate the alarm switch 1/4 in. (6mm) turn until locked in place.
Install the multifunction switch if removed.

CAUTION
Use of screws that are too long could prevent the column from collapsing on impact.

Replace the column. Tighten the nuts to 22 ft. lbs. (29 Nm); the bolts to 20 ft. lbs. (27 Nm).
Install the column shroud halves.