Thank you Zieke,
What for other vehicles seems to be another task more, in this vehicle looks like it is quite a work to to. I went to Autozone today to buy an air filter for my other car and they printed me the steps to replaced the engine on this vehicle (2005 Lexus RX330 AWD). I have almost everything taken apart, but it looks like I am missing something because when I lift the transmission with the engine everything lift up, the transmission and the vehicle. Obviously I am missing something to disconnect. I unbolted the other three engine mounts but even though the engine does not lift just independently from the vehicle. I can't believe Lexus did such a lousy design on the engine mounts. I have never seen something like that. It is so easy to have bolts and nuts to disconnect the engine mount and release them from the transmission and the subframe but Lexus complicated it by having the engine mount with studs engaged to the transmission case, and the subframe at the same time. It is insane to have to lift the whole engine and transmission to be able to change the engine mount or in this case the lower control arm, because they had the wise idea of putting the lower control arm trapped under the engine mount. I will do it whatever it takes. I am an aircraft mechanic and I will never take to the dealer or mechanic shop something that I can do it myself as a principle. Thank you for your advise.