Help! i downloaded a newer version of Safari but it turns out it isn't compatible with my OS X (10.6.8). Now my computer is dead in the water - essentially it doesn't have a web browser.

Help! I downloaded a newer version of Safari but it turns out ... its not compatible with my OS X. Now my computer essentially has no browser and can't connect to the internet.

"… my dilemma is that my iMac…"
Download the old Safari to the MBP. Use a flash drive to transfer the .dmg installation file from the MBP to the iMac. Open the .dmg on the iMac and install Safari 5.1.10.
But, frankly, I don't think that simply reinstalling the old Safari will work because of all the peripheral, under the hood changes that happen when you upgrade from one version of Safari to another. Reinstalling 5.1.10 may be insufficient to turn back the clock. (This is the moment where a Time Machine or another form of full backup would save your bacon.)
While you're getting a copy of Safari, get a copy of Firefox (https://www.mozilla.org/en-US/firefox/desktop/), too, so that you have an alternate browser to use as you're sorting matters.

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