For 18miles range, this battery could be ok considering you are doing a lot of pedalling at 18mph. As Dave said, it sags a lot when the juice is running low. People has tried to use it and seems fine but he is running 17AH (heavier) so for his purpose it won't be a problem.
http://endless-sphere.com/forums/viewtopic.php?f=14&t=48370
If you are looking a motor less than 2.5kg, either keyed or tongxin motors are ok but they are not very powerful.
You could over volt them to increase the speed but there will be more heat.
The problem for a small motor is possible overheating and burn the motor.
We need more info about 250w 75mm motor you mentioned (photo, working voltage, weight, RPM on 16") to see if it is powerful enough for your application. If it is a small motor I doubt it would be a good idea to run at high speed.
Basically, lightweight 4Kg kit is possible but you need to do a bit more pedalling to reach the range and speed you want
p.s. You could get a Titanium brompton to reduce the weight of the bike.
Pat