I have installed pecl-imagick from FreeBSD ports also it can't perform a factor with images.

phpinfo() reviews this:

ImageMagick number of supported formats:    0
ImageMagick supported formats:  no value

But ImageMagick installed properly and show all it's stuff:

$ convert -list configure
...
DELEGATES     bzlib fftw fontconfig jpeg jng lzma png zlib
...

What is wrong and just how to repair it?

Have you install PHP from ports? Improve your ports and re-install packages.