Now I´m starting to get really confused with when I´m supposed to add the suffix "-mak" or the suffix "-maya -ye"

It is veeerrrryyyyy confusing. There is a thread on the subject here: http://www.turkishclass.com/forumTitle_7342_3

And also here:

http://www.turkishlanguage.co.uk/infinitive.htm

In short I think it comes down to this:

-me/ma is used when the infinitive is object of a verb: (EXCEPT with istemek*)

*Everything with "wanting" will be with -mek/mak: I want to go: gitmek istiyorum.

ex:

- I expect to see you: seni görmeyi bekliyorum

- I hope to return: dönmeyi umuyorum

- I want to write: yazmak istiyorum

- I want you to go: gitmeni istiyorum. This is an exception to the exception (sorry) : the verb is istemek, but gitmek belongs to another person, so we go back to -me.

- You didn´t want to go, gitmek istemedin.

- We do not want you to go, gitmenizi istemiyoruz.

In Turkish you actually say "I want your going", going being a noun.

I hope a native can correct me and make is simpler....

How would one say "They don´t want me to go"  Onlar ben gitmeyi istemiyorlar?

Onlar benim gitmemi istemiyorlar

or just

gitmemi istemiyorlar

http://www.turkishclass.com/forumTitle_2090

You should try to remember that in Turkish you actually say "They don´t want my going". 

Gitme + m

This goes for most if not all of these kinds of constructions.

And you only use ´benim´ if you really want to stress the ´me´, as if they don´t mind other ppl going, but they specifically don´t want YOU to go. Otherwise, leave ben/benim out.

Onlar can also be left out, because the -lar already says it´s them.

From those examples it looks like the infinitive goes with için. So then I don´t understand this:

Thank you for calling. Aradığınız için teşekkür ederim.

You can use için with lots of phrases and in combination with lots of words. Not just infinitives. Those examples just mean to say that if in THIS construction you use için, then you use it with the infinitive -mek/mak, because in the other option the suffix -e/a already says ´to´.

Aradığınız için teşekkür ederim.
Aramanız için teşekkür ederim.
Teklifin için teşekkürler.