"To" is not part of the infinitive. That's the point. Except that grammarians argue that point and there are different interpretations of "infinitive," but the argument is sufficient for the ditching of even the hint of that silly don't-split-it rule.

I'm very happy to see "decimation" remain in common currency, Nigel. Your point was right on the money. That's my one pence worth. Now excuse me as I have 2p off to buy the paper.