I assume the stabilizer bar rubbers you are referring to is key#26 which is referred to has drag link bushings. See images below.
Worn bushing Key#26) would only cause a very slight alignment issue. You did not state how far the wheels are out of alignment. The only way that the wheels can become out of alignment is if the front wheel(s) was to hit something to bend the spindle (key#3&4), tie rod (key#32), or drag link (key#10). See image below. Without physically being there I will not be able to say with any certainty which part(s) are bent and in need of replacement. If the bushings are worn, I recommend replacing them first and if the wheels are still out of alignment I recommend calling a service technician to diagnose and repair your mower.