Yes I think you should do that, practice your skills, then head to the gym, and work on fundamentals especially, because it's really important and that's what coaches look for to send you in the game. So fundamentals is the key while your practicing on your skills.

I am currently a basketball skill/strength coach.  There are a lot of factors that go into a workout plan.  My first question to you would be...are you currently in-season?  If you are in-season and practicing/playing games 6 days/week, you should scale back your workouts a little bit until the off-season...focus on maintaing strength and skill vs. big improvements.  If you aren't playing/practicing in season that much, then you can ramp-up a bit.

If you are doing any strength training and skill training in the same day, you should make sure you always do the strength training first.  Injury in strength training is much more prevalent if you are doing strength training while fatigued.  So if doing both skill/strength in same day...always strength first.

When you say "Would it be ok to go to the gym first then practice my ball skills everyday, i heard that it help builds muscle memory.", do you mean go to practice then do ball skills...or do you mean lift weights then do ball skills?

As far as a routine, I highly recommend a lot of variance in your workouts.  So, an example would be...one day do ball-handling only, the next shooting only, then do a mix of ball handling/shooting, then defense, then defense and shooting, then passing and ball handling, etc....Map out drills for each day.

If you go to my site, www.theworldofhoops.com you can find a lot of great drills if you go the "School of Hoops". 

There are a ton of videos here: http://www.youtube.com/user/TheWorldofHoops?feature=watch

We do custom programming as well, you can find info on that as well.  Good luck!