Just so you are not surprised when it happens, this isn't as true as it sounds.
The fist thing you need to know about lightening is it doesn't follow the norms of low voltage DC electricity that people are used to. It is both high voltage and high current at the same time. Actually that is an understatement, I'm assuming you have seen something somewhere that has the words "Danger High Voltage"? Next to lightening that is nothing. It has the power to do what it wants while seeking ground, and this includes jumping from one ground to another, even arcing through the air and using multiple ground connections at once.
You have a wire, presumably the shielding in coax (not to say lightening won't use both), that lightening can travel to your house. Balanced feed line is also not immune. Any which way, like it or not, you have a connection from the antenna to your house for lightening to follow.
The best thing to do is connect all of your grounds together with 4 AWG wire. This works because lightening looks for lower potential ground connections. If all of your grounds are connected together they are all at the same potential. This is how broadcast radio stations protect themselves. Their antennas are hit with lightening more regularly than your antenna likely will yet they only very rarely are affected.
Grounds being at different potentials may be odd sounding, but hook up the ground rod at the tower and the ground rod at your house to the leads of a volt meter, you will see DC voltage. This voltage can change over time, including changing polarity. This difference is what cause lightening to jump from one ground to another (sometimes through your electronic equipment for which your radio will likely be the first chance) as lightening always seeks the ground with the lowest electrical state.
I would also run the feed line through a lightening arrestor where it enters the house, one that is connected to grounding system like the one mentioned above. This will do more than anything to keep lightening hits out of the house.
The DB
Oh yeah, I understand all that. I worked in Wicomico county as an 800 Mhz Radio tech and now work at a private company dealing with many commercial and federal radio/electronics accounts. I see their grounds and how the poly phasers are hooked up. I plan to run a Poly phaser where my commscope ends and LMR begins. (Under the house somewhere)
Electricty is going to look for the path of least resistance whether its one or multiple paths. I will have one 8' ground rod on each leg and one at the poly phaser. I also disconnect all coax from equipment to tower when not in use, incase of pop up storms.
I know its not, nor ever will be a full proof plan. But I know the tower is more likely to get struck then the house in most cases. So keeping it away should have some benefit...I HOPE HAHA