Yes if you hold high dividend payers hedged with the index then you're effectively running something like an equity neutral hedge fund (though before embarking on this you probably need to do some more reading. At a minimum you should understand the difference between cash neutral and beta neutral). It isn't a 'free money machine' like your OP, but it should earn a positive return over time.
This is a reasonable thing to do*. But you're overpaying for your financing costs because interest margin is so much higher than what you get back in the futures hedge. So it's going to be tough to get positive carry without going for relatively high yielders (roughly speaking you need to earn at least 5.94% - LIBOR, or about 5.5% in dividends to break even).
* I do this myself, albeit without leverage.
GAT
Where do you get 6% to breakeven from? The implied forward is 2%ish and you can fund at 1% pretty easily. Or are you thinking of UK indices?