Okay, I've done some research on several Forums.
It turns out one gentleman has claimed to have a push start on his 2011 ram 1500 but had failed to provide proof or knowledge behind how it was done. All he said was "the dealer hooked me up" and did not provide any proof or knowledge or reference to how it was done or that it was actually done.
Now, to my understanding on several forums - the system for the dodge ram 1500 does not allow for a push start. But, I think there is an upcoming application that will allow remote start via smart phones which could be something interesting to look into.
It will at least allow you to start your car from a distance and let it warm up/cool down during the summer/winter. I would assume the application will be similar to the onstar app for the GM vehicles.
I also understand Mopar app will allow for this with Jeeps! (Not sure whether or not it has been released or is still under development or a rumor). It's a nifty feature but still don't find it something to base purchasing a vehicle on.
Sorry to be the bearer of bad news, but I doubt you'll have push-start for the 2011 Ram 1500 unless someone is able to crack the system.
This forum seems to be very helpful for rams. Subscribe to the post and see what happens, maybe someone will figure it out in the near future. Until then you can do 3 things.
1) Forget about the push start
2) Wait for someone to crack it
3) Research and invest in a way to figure it out
I wish you the best of luck in any of the three choices you decide to take.
Hope this was helpful, if anyone else could shed some light on something I may have missed out, please feel free.