I think, in every thinking Jat (read Indian) mind there is a big conflict. There are variety of forces at work. In the end, we have to decide whether we consider ourselves the descendants or vanshdhars of ideals precipitated in our mind by invoking names such as Ram, Krishan, etc. or by Muhammad, and his ilk. Or that whether we consider ourselves to be descendants of a civilization 5000, 7000 or may be even 12000 years old or that which is 1400 years old with the most venomous history. Etc.
Clearly these are conflicting ideals. They have as much in common as 0 and 1 do in computing parlance. In the end, if somebody tries to find a commonality, somebody can find a commonality between 0 and 1 as well - saying that at least both are numbers (and that in fact is what "secular" people do). But I would say who are you trying to delude with that! If these ideals are the same than why don't all Muslims become Hindus or vice-versa, and for what did we fought against islam for 1000 years (and still do)? Clearly, when you talk about Hinduism and Islam - there is more than "a path to God" - whatever that means. While it may or may not be true that all paths lead to God (or indeed whether there is such a thing as God or not), but certainly Islam (or Hinduism for that matter) is more than merely a "path to God" - and that is where the conflict lies. So trying to fool ourselves that all are the same doesn't really cut ice - you can pretend that it does as much as you want - but it doesn't.
Just to give an example, do even the non-vegetarian Jats approve bali of animals in the name of Hinduism (let alone Islam)? Can we really coexist with a neighbor who goes on a butchering spree every Durga Puja. What about muslims, who kill the cows venerated nonetheless, if not held sacred by us, and that too in the most brutal halal manner? Can Jats really come to terms with such cruelty? In one scenario, we can actually, that is if we become hypocrites like Brahmins and Banias - who say something and have something else on their mind. But in that case we will have to drop singing bards of our Independent character, etc. But do you really want to become the same as Brahmins in the name of secularism? That is your choice to make, whether you want to become exponent of so-called ganga-jamuni tahzib - where everything is allowed as long as you can go through your life - much like a worm - in the name of secularism.
Now, coming to Muslim Jats: They have already made a choice. And barring a few desolate individuals, they largely have their loyalties to Arabian values - which are at extreme odds with our values BTW. Even if they are proud of their Jat ancestry, they clearly don't think that to be in anyway a strong binding glue vis-a-vis Hindu Jats, at least not strong enough when compared with fellow Muslims. The same thing is true in case of Pakistanis. Most Pakistanis very well know that they were Hindus once, but does that make them think even for a moment when they carry out all those terrorist activities against descendents of their own ancestors. Aren't the same Afghan inhabitants destroying (or rather destroyed) same Bamyan Buddha - whom there ancestors must have built with great toil and effort. Essentially Islam is destruction of local culture, and its complete replacement with Islamic culture - sometimes gradual and sometimes abrupt. And thus the Muslim Jats in general feel no nostalgia.
It is only non-Muslim Jats who keep on clinging to this nostalgia. We even hear the invocation of Chhotu Ram, Sikandar Hyat, etc. What about so many wars we fought against Muslims? Do they disappear without trace in secular parlance? Does the fact that we fought for so many years with Muslims and Mughals mean nothing to us now?
We also hear how Hindu and Muslim Jats used to live in one mohalla, and how they all went together to all social events. If that was the case, why at all were they Muslims in the first place, is the question. If they have to do all things that are Hindu, why do they need themselves to be labelled Muslim at all? The real answer lies in the fact that one group of people takes 10 generations to radicalize, and the other one can take 20. But, once a group of people is under the influence of Islam they or their posterity will radicalize nonetheless on one pretext or another (BTW, these pretexts are often called grievances). Somebody has aptly pointed out how things played out in Muzaffarnagar and Pakistan, and about the role of the same mullay Jats - the once live-in-mohalla-partners.