I am left handed, and I use a right hand kit. I play openly on the hat, and had to reposition my ride to the left side of the kit to adjust.  I can not seem to keep time with my right hand.  When I am doing fills, I can start good multiple bounce rolls with my left hand, however, I can not even get the stick in my right hand to bounce twice.  so most of my fills start with   dadada  dat.     I don't get much practice time in, as I have to wait for an empty house. my house is not insulated well.  I also play guitar (I have played both for about 12 Years) so I am playing guitar more than drums anyway. This is because drums came rather natural to me, and I had to work at the guitar.  

(on a side note, I play the guitar right handed too... left handed was NEVER comfortable for me)

I thought I was the only lefty playing a right handed kit.  I also play football, baseball, hockey, volleyball, bowling, & all other sports right handed EXCEPT badmitton, tennis, & ping pong.

I play all guitars right handed, and kick right footed.  I write my best left handed, but can do very well right handed.  I shoot gun/bow left handed.  I box right handed.

I must be all screwed up...

I agree with you mediablamer, I think it is all mental.  I think that, if you sit down and spend the time practicing, anyone can be ambedextrous.

I'm a lefty playing on a lefty set with standard crossed-over arms.  but everywhere i go, the sets i see are set up for righthanders- i thinks its a conspiracy (the govt., aliens, pyramids, and the face on Mars is all in on it)
so with that in mind, i set my set up backwards- right handed ,and began to play around- talk about tough!!! i ended up just working on my snare -trying to mantain a dominant right hand, after a short while i STARTED to get the hang of it, but its really tough. i'm sure its possible to become ambidexterous, but i'll tell ya, its gonna take work!!!!
fyi- i could do some pretty good double bass tricks (left foot dominant) but i could only roll one way on my toms- high to low (right to left) with the left hand leading the way.
it'll be a struggle, but i think we can all get through this together.

I know I am a nobody on this forum, but I would like to share my experience with this issue. You may think this is all strange...but!  About three years ago, I had to have surgery on my right hand to fix a injured part of my palm area.  The surgery went perfectly fine, and I am normal now, just to let you know, it changed my life in a weird way.

I have always been dominate right hand playing drums crossed armed and throwing balls in sports, etc.  Because of having the surgery and the total inability of using my right hand for 12 weeks, I had to perform many functions left handed.  This included eating, wiping (toilet), writing, brushing teeth, computer mouse, pouring gallons of milk, using scissors, etc.  

What is strange, is after the end of the twelve weeks of being totally dependent of my left hand, I never went back to the right dominate old way.  Today, I eat left handed, pour drinks left handed, brush teeth lefty, on some occasions, even write left handed and sign left handed.  Something clicked in my brain like a light and my left hand came alive.  heres the weird part, I actually throw a ball more accurately left handed than right.  I trip people out becuase I can do almost everything the same between hands after these last three years.

Now how this related to drumset, I strated playing open handed after this because it didn't feel right anymore to play crossed.  I thought I was going crazy but I felt more comfortable with left hand on the hi-hat and right hand on the snare drum.   I noticed after months of playing like this, I was a better drummer. And more creative!

1.  It made my left hand more involved playing hi-hat (and faster)
2.  I could play some wicked snare patterns with my right hand
3. Drum fills were fresh and different

I thought I would turn the kit around to left, but it just didn't work out with my left foot on BD (although my left foot improved about 30% as well overnight...i can't explain that one).  So now I play open on a right hand kit.

My left hand improved 65% overnight, and it's about 80% of what my right hand is now in all sticking patterns.  Drummers come up to me and ask what's the deal with the open playing, It's actually so liberating!  I discovered Carter Beauford about a year ago and studying his playing has been helpful.  I would recommend if you want to be a better player, give it a chance.  Oh, using my left hand has taking the creativity level off the chart, that was a pleasant side benefit!

BTW, my wife and in-laws is totally tripped out by this whole thing.  They think I've gone crazy, even though I've told them it all happened naturally and I don't even think about it anymore! It just happens!  I think they are tired of moving the mouse from the left side of the keyboard back to the right on the computer everytime. Well, there's my story.  Ambi-Jonpaul

I too am a lefty that plays right handed.  I play the guitar right handed also.  Most of the regular stuff - eating, writing, throwing, etc. I do with my left hand.  I've messed around with playing on a fiddle, that I have to play left handed due to having more contol with the bow in my left hand.

One part of drumming I question is when I'm playing a percussion setup.  I feel more comfortable when playing timbals, congas and bongos when the higher note drum is on the right - but the guy I'm playing with who is right handed says I'm playing backwards.  I usually lead with my right hand but with practice I've learned to lead with my left when I want to roll between drums right to left (higher to lower notes).  Is there a right handed and left handed way to setup a percussion set?  

I, like Terry learned to use both equally. If you think about it the rudiments are set up that way. And I used to occasionally play open if it made a transition easier in a song. I have tried it in the last few weeks since getting my new kit, and I can still do it, but not near as well as closed.

Completely right-handed at most things, and always have been, but my whole life I've done a few things left-handed that everyone else finds odd. Like eating - I hold the fork with my right hand and cut with the left. And I play pool/billiards left-handed.

From a drumming point of view, my left hand is almost there, but my arm tends to cramp up pretty badly.

I've started practicing with my kit set up backwards and attempted to play songs in our set that way. Straight songs are getting more convincing, but anything with a swing or a bit of syncopation is still a bit of a problem.

I saw Dave Matthews Band about two weeks ago and ever since then I've become obsessed with trying to duplicate Carter's same side ride and hi-hat thing.

Ambidextrous?

Only when it comes to eating.....