1) No, if a motor is using 1500 w of resistive power, then it will create the same amount of heat as the heater, since you said the shaft is not hooked to anything.
2) Yes you get more lumens per watt from a CFL
3) CFL is more efficient at producing light. Depends how you define efficiency. 1500 watts of CFL's or old time bulbs heats a closed room the same since the light is converted to heat as well.
4) Electric heaters are always 100% efficient at producing heat, radiant heaters just might be the tiniest fraction less because they produce some visible light but in a room that is also converted to heat. There is NO difference other than that.
5) Sure I have some hard data, but it would be first year university physics or high school physics lab notebooks from experiments they make you do.
You can do them too. Get an insulated box, a watt meter and thermometer. Some basic calcs. All the same. Don't shine the radiant heater on the thermometer.
I think the problem is you are confusing radiant, convective and conductive heat transfer. Different heaters move heat in different percentages of each method and we sense them differently.
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