2500 to 3000 rpm idle

In theory once the desired idle speed is programmed into the management system, in the absence of such faults as air leaks, sticking idle air control valve and suchlike it should be impossible for the idle speed to be much different from the programmed value because the ECU should continue closing down the amount of air bypassing the throttle butterfly until the idle is around the correct value.

I think you need to go back to basics and double-check the work to ensure everything is as it should be. In the absence of mechanical faults and ignoring the possibility of electronic problems a high idle must be caused by too much air entering the engine, either because the idle air control valve is not closing properly or because the throttle butterfly is not closing fully.

It is worth noting air can enter the intake through leaky diaphragms, split vacuum hoses or faulty pcv systems. It is also worth checking the egr valve if fitted.

It only revs up when u start the first in the morning? If so, it is normal, once it warm up it will back below 1000 rpm.

P1506 - Idle Air Control (IAC) Overspeed Error This DTC is set when the PCM detects engine idle speed that is greater than the desired rpm.

• IAC circuit short to GND
• Damaged IAC valve

Disconnect IAC valve and look for little or no change in engine rpm as an indication of a stuck or damaged valve.
Ford Idle Air Control IAC valve test how to adjust minimum idle speed
Ford Idle Air Control Valve Diagnostics High Idle DTC P1506

Have the fault code read as it may be a throttle position sensor or idle speed sensor that is at fault.

Check and see if your throttle body is stuck open

It could also be carbon build up on the throttle body, but regardless the cure is the same. Your going to need to clean the throttle body and the idle air control valve (IAC). With a can of throttle body cleaner, (follow instruction on the can) clean the throttle body blade and the IAC passage way in the throttle body. Once the throttle body is cleaned, with the engine off, turn the ignition key to the on position (engine not running) and wait for 30 seconds and then turn if off for 10 seconds and then start it. This should reset the IAC, if it did not work do it again and see if it helps. If not clean out the IAC passage way again. The turning on and off the ignition reset's the IAC and it may still be stuck with carbon build up. Once the engine has started, Note there will be lots of smoke form the tail pipe, that's normal. It's just the left over throttle body cleaner and carbon being burn off, take's not more then 10 min to burn off. Good luck and this should keep you from replacing the IAC. Oh and don't use Carb cleaner, Carb cleaner is to corrosive to the throttle body gasket.

Well all cars idle at 550 rpm to 700 rpm depends on engine but it sounds like you throttle body is not shutting down .
yes could be idle sensor or you could have a hose come off the intake manifold so bypassing the body valve, ,check throttle cable for free play when not going..check for hoses off /crackedand leaking air/or hose off the engine block either big or small ..

check idle speed control make your throttle valves not stuck.check for vacuum leak around the throttle body area look for broke gasket.

Ckean throttle plate inside throttle body...They tend to get dirtier than their counterparts in carbureted engines due to lack of fuel spray that kept them clean. If no luck with that, clean idle air control valve on TB. When doing this, don't turn the plunger, just clean with carb spray and replace. do not loose "o" ring seal.
Good luck

You are really onto it! Either the TPS or the cable from the peddle. Do check the cable first. Frankster016