Firstly, to be 'disgusted' with people over something like not wanting secular music in their praise and worship is a huge overreaction. I'm disgusted by pedophiles... rapists... and you're disgusted by people who are trying to maintain a level of righteousness and holiness. I see a problem right there.
Secondly, you're obviously only looking at this situation through your own personal WANTS and not giving consideration to any problems that could arise. You're disgusted because you want what you want, and you don't like that someone could disagree, yet you aren't considering why they might disagree.
The bible is clear, there are some areas that are grey. And in those grey areas each person is lead by their own personal conscience. Such as eating meat. Some people enjoy meat, some people won't touch it. Who's wrong? Neither one. God says if you think its ok to eat meat, go ahead, if you think its wrong to eat meat, don't. And also says you are not to look down on someone else's decision. A person who doesn't want to hear secular music may be prompted by the Holy Spirit to avoid it. Then you use this for 'praise and worship' now this person is going against the leading of the Holy Spirit by engaging in this form of secularized worship. And these are the people that disgust you. These people are following the Holy Spirit, or are trying their best to live as righteous and holy people. And you are disgusted by this.
Ever stop to consider that some people may not want to use secular music because they may have a hard time bypassing the secular version of the lyrics? Instead of being focused on worship, the original, secular wording is playing through their mind, distracting them.
I suggest learning to stop making what you want such a priority and spend more time thinking through things and giving other peoples points of views more consideration.