The last part, as of right now I don't know if it would be a good fit, but I know I love reading Muslim quotes, I like being around Muslim people, I definitely do agree and relate to a lot of their virtues and my intuition tells me it could possibly be what is right for me. But again, I don't know yet.
I am not a Muslim, was raised Catholic, but left any semblance of Christianity long ago. Still, to this day the most beautiful descriptions of the divine I have seen come from Islam. As others have already pointed out, however, there is a big difference between theoretical Islam and how it is practiced by actual believers. Much of this is cultural rather than theological, but that doesn't make it any more palatable or reasonable. I am encouraged to see progressive Muslims promoting the value of a more figurative and positive interpretation of Islam, as has been done with Christianity.
Hmmm... well I like that Muslim women are modest mostly for starts, and men too, but that stems with all of the other things that are important to me. I remember somewhere in the Bible, if somebody knows the scripture I am talking about that would be great, it says women should have their hair or face covered in church. It also says that women shouldn't teach men. So in that case, it seems the Bible teaches the same thing, but a large amount of Christians don't follow it. I don't know why Muslims follow that law and Christians don't.
Do you agree with limiting the roles for women in spiritual life? The attitude and practice of modesty for both sexes is quite different from rules which constrain the participation of women in worship and learning. I, for one, can appreciate the former while having no patience whatsoever with the latter. Yes, the Bible and the Quran have similar prescriptions for men and women, growing out of similar cultures and era. The fact that Christians do not follow it in practice in many cases is indicative of a shift from a literal to a figurative interpretation based on an understanding of the context in which the practices were originally laid out. Polygamy, for instance, makes a certain sense in a society where men are scarce due to warring, and laws or customs limit the agency of an "unattached" woman. Restore the male/female balance and acknowledge legal personhood/authority of women, and it becomes unnecessary.
One of the reasons I suggested the Amish was because to me they actually seem like the most similar Christian group to Muslims in the United States, not just because of modesty and structure, but because they literally live apart from modern ways, and this living apart from modern ways has had a heavy influence on Islam in Asia, which is why you see such conservatism coming from there.
This is one reason I usually consider LDS (Mormons) most similar to Islam, especially the more fundamentalist groups who still practice polygamy and really emphasize the whole gender role separation.
Now more generally @ the OP: Much about your question and your search seems externally driven. You mention disappointment in how others of various churches/faith traditions lack discipline and commitment, have low standards, and don't take it seriously. You are looking for an external system of rules to give structure to your life, or at least your spirituality. You value support from others in a community. There is nothing inherently wrong with any of this, the problem lies in what seems to be lacking, namely some internal compass.
No one can believe for you, and it is unwise to try to make yourself believe something just because others do, or say you should. This doesn't mean your beliefs can't or won't be influenced by the ideas and example of others. We are always learning from others, but the conclusions we draw from that input must come from within ourselves. No one can give us the answers, and anyone who claims that ability is just plain wrong. Also, you do not need external standards to demonstrate the discipline and virtues you value. Get used to living up to your own internal standards, and setting the example for others. Doing something because you value it, because you really believe it is the right thing, is always a better motivation than doing it just because it is "the rules".
Understand, too, that spirituality has a theological/philosopical dimension, and a cultural dimension. You can visit Catholic churches the world over, for instance, and see a huge variety in how that faith is expressed, while the basic doctrine and rituals will be the same. What this means is you really have two questions to address: (1) what do you really believe? and (2) what kind of practice do you prefer for expressing that belief? If a group or church fits the second requirement but not the first, you will quickly run into problems.
To answer the first, I would suggest reading. Read Christian literature, and Muslim, and even other things. You will start to see common threads that make sense, and ones that don't. Don't feel at this point that your beliefs must match up 100% with anything. Just focus on figuring out what they are. To answer the second, visit religious groups, meetings, services, etc. Ask friends of other faiths or churches to take you along. Most will be happy to do so. You might find you like how things are done in a certain synagogue, or Quaker meeting, even though you don't share their specific beliefs. Ultimately you can put the two together, and look for your best-fit congregation, knowing you won't find a perfect fit. You will understand what you can compromise on, though, and what you can't. Understand, too, that once you find a church or community, you will have the opportunity to influence it with your ideas and presence, but that may take some time to accomplish.
All of this can be daunting to do on your own. If possible, share your search with a friend, perhaps one questioning his/her own spirituality. Whether you end up in the same place or not, you can share your journey together, keep each other accountable, bounce ideas off each other, even attend events together. Ultimately, though, there is no escaping the internal work necessary to get one's spirituality on the right footing. As Doreen Valiente wrote in Charge of the Goddess:
And you who seek to know Me, know that the seeking and yearning will avail you not, unless you know the Mystery: for if that which you seek, you find not within yourself, you will never find it without.
P.S. You might find
The Faith Club by Ranya Idliby, Suzanne Oliver, and Priscilla Warner worthwhile.