John Finnigan equalised for the visitors when he shot from close range, only for Conlon to give Crawley the lead again, firing in from six yards.
The visitors grabbed a late equaliser when Chris McPhee struck from just outside the area.
Crawley Town: Rayner, Rusk, Rents, Hutchinson, Ademeno (Forrest 86), Pinault, Malcolm, Wilson, Cogan, Quinn, Smith. Subs Not Used: Jordan, Giles, Killeen, Willock.
Goals: Ademeno 13, Cogan 63.
Kidderminster: Coleman, Courtney, Baker, Finnigan, Caines, Riley, McPhee, Knights (Hayward 84), Smikle, Matthews (Hadley 73), Spencer.
Subs Not Used: Singh, Dolman, Sharpe.
Goals: Finnigan 49, McPhee 85.
Ref: B Malone (Wiltshire).