2005 Dodge Neon SXT ignition will not turn over. Steering wheel is not locked. Suggestions? Will I have to get this fixed at a Dodge dealer? Approximate cost?

Have helper turn the wheel as you look under hood. You will likely see a steering column joint that has failed.

turn the wheel until it locks then try bumping it against the lock and away

if solid mounts where installed then it is engine vibration.
the vibration is from the engine !

pull steering wheel a little to left steering is locked this will unlock it you will able to turn ur key

change fuel filter & air filter

Turn your wheel to the left if you begin to navigate to the right and visa versa. The movement of the wheel is always going to be opposite of the direction you want to travel. For example, you could turn the wheel farther left to go to the right.------------------------------------------------------------------------------------
opcom

Either the sensor in the car is busted - in which case see your local Dodge dealer for help - or else you just need to replace the battery in your key/fob remote!

sounds to me like it has jumped timing

Disconnect the battery.. Its magnetic. The transponder has gone bad in the key. May need replacing. Unless someone tried to put the wrong key in the ignition and broke the electrical contacts inside the tumbler

Sounds like the ignition cylinder is jambed, if you remove the covers and put the key in, you might be able to turn it with pliers, just turn it to the accessories position, then there is a small metal clip that pushes in, push it in and pull the lock cylinder out of place, get a new one from the dealer and reverse to install. If it's above you, your dealer can help, usually about an hours labour or so.
Hope that helps, Good luck
R