Veneer?
Is the table top veneer? It looks like it is, but I am not certain from the photos. Anyway, assuming it is, I would avoid sanding it as it is way too easy go through the veneer and ruin the table.

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I wouldn't
use paint stripper, I've known it to stain a surface as much as clean it.
A good waxing with wire wool should remove the polish that's there
(although I like the patina it has now)
I definitely wouldn't sand - the table top looks very thin judging by the edge!

I'd like to
see a close-up pic of the table edge. Tom, if you have a pocket lens, you can take a photo from six inches or less away . . .

Determining if it is veneer
In addition to looking closely at the edge (where you should see end grain if it is not veneer), you can look under the table and see if it is the same wood. Also you can see if the seams in the wood on the top are in the same place on the bottom. Finally, looking very closely at the corners, you can see the very thin layer of veneer.
I do expect it is veneer, but with photos, and with some woods (birch is one) I find it harder to be certain that it is veneer. Teak veneer is much easier to spot.
If it was teak oil that was put on there, I have removed excessive teak oil on a table by pouring on a bit of acetone, letting it sit for a minute and wiping it off. I've also done a more agressive version of this with acetone, scrub lightly with steel wool, and then wipe.
For some reason I feel reluctant to recommend any particular means of lightening the table top. Maybe that is just because I think it looks good as is.

I'll run with the pack on this one, Mr. Ado.
If you're not comfortable with the process or ready to hire it out to a pro, I'd advise living with it for awhile. Maybe give it a coat of paste wax. These things have a way of growing on you or not. Reassess in 6 months.

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