dandyrandy had it right in the first response. Heat is heat. a watt of heat is a watt of heat period, regardless of what source it came from. Thats the law of the conservation of energy.The overall efficiency of your light and input wattage will determine how much heat is left over.
So how does a watt convert to a BTU? Its about 3.412 BTU/H per watt/H. So if your whole setup is 1,000 Watts and its a 17% efficient MARS Hydro light setup your getting 170 Watts of usable light and 830 watts of heat or 2831BTU/H of heat being put into your tent.
If you use an HPS setup at 1,000 watts and its 30% efficient your getting 300 Watts of light and 700 watts of waste energy or 2,388.4 Watts
If you built an LED setup yourself and it pulls 1000 Watts and is 60% efficient your looking at 600 Watts of usable light and 400 watts of heat waste or 1,364.8 BTU/H of heat
The best *cost wise* method of removing heat is moving air into your tent and the old air out. The worst methods are A/C and peltier setups. A/C isn't very efficient, so lets say we have that 1000W mars light cause we were idiots and wasted our money, now we need an AC unit capable of removing our almost 3,000 BTU's of heat, in addition to the heat that remains from the inefficient A/C unit, and the extra heat/energy use from the more powerful fan we just had to purchase, and the extra duct work, and the increased holes in our structure to support this... yep. Long story short, that 17% efficient mars light required a ton of ADDITIONAL stuff on top of already having been the worst option and your pulling 2,000 watts and only getting 300 watts of usable light. Something like that.
Do it right, or don't do it. HPS is a fine option, and a real DIY COB LED is a GREAT option, but a mars unit or junk china unit is not an option.