The verse:
“Jesus looked at them and said, ‘With man it is impossible, but not with God. For all things are possible with God’” Mark 10:27
How it’s misused:
I can do anything I set my heart on, as long as I have enough faith and believe God for it and ask for His help.
What it’s really saying:
The context of this verse is a discussion about the salvation of those who have set up large barriers between themselves and God – specifically here a man who trusted in his great material wealth, and thought he could earn his way into eternal life. Just before this is the famous phrase, ‘It is easier for a camel to go through the eye of a needle than for a rich person to enter the kingdom of God.’ (vs. 25 – something that is technically possible if you have a meat cleaver, a blender and a syringe), in which Jesus highlights the impossibility of a person achieving their own righteousness.
So what is impossible with man (ie. can’t be done by man), but possible with God (ie. can be done by God)? Salvation. Why is this so? Because God is God, and so nothing is impossible for Him.
New Jerusalem 
Normally, the verse used to justify the granting of our own desires “I can do all things through Christ who strengthens me” (Phil 4:13).
In which case, the ‘all’ does not mean ‘every possible thing without exception,’ but ‘all that I am called to do in the cause of the Gospel’, specifically: ‘I have learned in whatever situation I am to be content. I know how to be brought low, and I know how to abound. In any and every circumstance, I have learned the secret of facing plenty and hunger, abundance and need.’
I say amen to your post and your comment. “All things” is not according to our human desire nor for our human ease but according to God’s will and His purpose.