Looks like you've got Q1+Q2 turned full on. Are you sure you're diagram is correct? You have two voltage dividers R3/R1 and R4/R2 feeding DC to Q1,Q2 and you've grounded the output of Q1, Q2, sure as hell they're going to get hot.
I assume P1,P2 are supposed to be the primary windings?
If you're feeding this with DC, your primary coil will act like a dead short feeding Q1+Q2 with full supply voltage
If you put a momentary switch on the power supply, do you get a pop at the output?