I feel a major burn and fatigue when I use the leg press machine. Would you guys consider the leg press machine a suitable compound excercise or alternative to the squat
Only if you have legitimate physical reasons for not doing squats like a bad back or sorry knees.
The effects that squats have on growth hormone and the extent to which they utilize stabilizer muscles is just too good to pass them up in favor of leg presses. Squats challenge your entire body. Just do 'em.