Definitely don't bother with learning readings out of context, or all the joyo kanji. However if you've been studying for six months it's not surprising that you're struggling with reading-- completely normal, you're not doing anything wrong.
I used 漢検 (kanji test for native speakers) material up to a certain point and it was useful for building up vocabulary - the focus is mostly on being able to read/write kanji in appropriate context e.g. given a sentence, can you give the kana readings of the kanji
words.
Kanji Odyssey is another good series:
Learning Materials of Japanese Language - Kanji
For reading, I suggest focusing on one area at a time. If you skip around with a lot of random texts, you're likely to hit a new set of vocab each time - e.g. sports manga vs. scifi vs. historical fiction vs the politics section of the newspaper. Pick something you have an interest in and read about that.